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Finding the Fourth Proportional to 946,728,001.70, 1,420,092,002.55 and 717,145,489.70

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Solution

The fourth proportional to 946,728,001.70, 1,420,092,002.55 and 717,145,489.70 is: 1,075,718,234.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,728,001.70 : 1,420,092,002.55 = 717,145,489.70 : x
  2. Step 2: Convert to fraction form
    946,728,001.70/1,420,092,002.55 = 717,145,489.70/x
  3. Step 3: Cross multiply
    946,728,001.70x = 1,420,092,002.55 × 717,145,489.70
  4. Step 4: Simplify right side
    946,728,001.70x = 1,018,412,574,587,773,440
  5. Step 5: Solve for x
    x = 1,018,412,574,587,773,440/946,728,001.70
  6. Step 6: Final answer
    x = 1,075,718,234.55

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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.