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Finding the Fourth Proportional to 97,417,734,066.20, 146,126,601,099.30 and 97,417,734,066.20

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Solution

The fourth proportional to 97,417,734,066.20, 146,126,601,099.30 and 97,417,734,066.20 is: 146,126,601,099.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,417,734,066.20 : 146,126,601,099.30 = 97,417,734,066.20 : x
  2. Step 2: Convert to fraction form
    97,417,734,066.20/146,126,601,099.30 = 97,417,734,066.20/x
  3. Step 3: Cross multiply
    97,417,734,066.20x = 146,126,601,099.30 × 97,417,734,066.20
  4. Step 4: Simplify right side
    97,417,734,066.20x = 14,235,322,365,889,294,106,624
  5. Step 5: Solve for x
    x = 14,235,322,365,889,294,106,624/97,417,734,066.20
  6. Step 6: Final answer
    x = 146,126,601,099.30

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.