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Finding the Fourth Proportional to 97,789,830,300.40, 146,684,745,450.60 and 97,789,830,300.40

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Solution

The fourth proportional to 97,789,830,300.40, 146,684,745,450.60 and 97,789,830,300.40 is: 146,684,745,450.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,789,830,300.40 : 146,684,745,450.60 = 97,789,830,300.40 : x
  2. Step 2: Convert to fraction form
    97,789,830,300.40/146,684,745,450.60 = 97,789,830,300.40/x
  3. Step 3: Cross multiply
    97,789,830,300.40x = 146,684,745,450.60 × 97,789,830,300.40
  4. Step 4: Simplify right side
    97,789,830,300.40x = 14,344,276,365,271,543,840,768
  5. Step 5: Solve for x
    x = 14,344,276,365,271,543,840,768/97,789,830,300.40
  6. Step 6: Final answer
    x = 146,684,745,450.60

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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.