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Finding the Fourth Proportional to 3,129,125,904,020.70, 4,693,688,856,031.10 and 3,129,125,904,020.70

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Solution

The fourth proportional to 3,129,125,904,020.70, 4,693,688,856,031.10 and 3,129,125,904,020.70 is: 4,693,688,856,031.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129,125,904,020.70 : 4,693,688,856,031.10 = 3,129,125,904,020.70 : x
  2. Step 2: Convert to fraction form
    3,129,125,904,020.70/4,693,688,856,031.10 = 3,129,125,904,020.70/x
  3. Step 3: Cross multiply
    3,129,125,904,020.70x = 4,693,688,856,031.10 × 3,129,125,904,020.70
  4. Step 4: Simplify right side
    3,129,125,904,020.70x = 14,687,143,384,820,201,717,497,856
  5. Step 5: Solve for x
    x = 14,687,143,384,820,201,717,497,856/3,129,125,904,020.70
  6. Step 6: Final answer
    x = 4,693,688,856,031.10

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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.