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Finding the Fourth Proportional to 749,125,215.90, 1,050,497,171.10 and 749,125,215.90

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Solution

The fourth proportional to 749,125,215.90, 1,050,497,171.10 and 749,125,215.90 is: 1,050,497,171.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,125,215.90 : 1,050,497,171.10 = 749,125,215.90 : x
  2. Step 2: Convert to fraction form
    749,125,215.90/1,050,497,171.10 = 749,125,215.90/x
  3. Step 3: Cross multiply
    749,125,215.90x = 1,050,497,171.10 × 749,125,215.90
  4. Step 4: Simplify right side
    749,125,215.90x = 786,953,920,102,626,688
  5. Step 5: Solve for x
    x = 786,953,920,102,626,688/749,125,215.90
  6. Step 6: Final answer
    x = 1,050,497,171.10

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.