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Finding the Fourth Proportional to 97,786,439,870.30, 146,679,659,805.45 and 97,786,439,870.30

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Solution

The fourth proportional to 97,786,439,870.30, 146,679,659,805.45 and 97,786,439,870.30 is: 146,679,659,805.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,786,439,870.30 : 146,679,659,805.45 = 97,786,439,870.30 : x
  2. Step 2: Convert to fraction form
    97,786,439,870.30/146,679,659,805.45 = 97,786,439,870.30/x
  3. Step 3: Cross multiply
    97,786,439,870.30x = 146,679,659,805.45 × 97,786,439,870.30
  4. Step 4: Simplify right side
    97,786,439,870.30x = 14,343,281,733,761,698,365,440
  5. Step 5: Solve for x
    x = 14,343,281,733,761,698,365,440/97,786,439,870.30
  6. Step 6: Final answer
    x = 146,679,659,805.45

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