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Finding the Fourth Proportional to 709,656,000.10, 1,064,484,000.15 and 656,571,840.10

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Solution

The fourth proportional to 709,656,000.10, 1,064,484,000.15 and 656,571,840.10 is: 984,857,760.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,656,000.10 : 1,064,484,000.15 = 656,571,840.10 : x
  2. Step 2: Convert to fraction form
    709,656,000.10/1,064,484,000.15 = 656,571,840.10/x
  3. Step 3: Cross multiply
    709,656,000.10x = 1,064,484,000.15 × 656,571,840.10
  4. Step 4: Simplify right side
    709,656,000.10x = 698,910,218,735,494,144
  5. Step 5: Solve for x
    x = 698,910,218,735,494,144/709,656,000.10
  6. Step 6: Final answer
    x = 984,857,760.15

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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.