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Finding the Fourth Proportional to 746,496,000.10, 1,119,744,000.15 and 719,286,220.90

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Solution

The fourth proportional to 746,496,000.10, 1,119,744,000.15 and 719,286,220.90 is: 1,078,929,331.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,496,000.10 : 1,119,744,000.15 = 719,286,220.90 : x
  2. Step 2: Convert to fraction form
    746,496,000.10/1,119,744,000.15 = 719,286,220.90/x
  3. Step 3: Cross multiply
    746,496,000.10x = 1,119,744,000.15 × 719,286,220.90
  4. Step 4: Simplify right side
    746,496,000.10x = 805,416,430,243,342,592
  5. Step 5: Solve for x
    x = 805,416,430,243,342,592/746,496,000.10
  6. Step 6: Final answer
    x = 1,078,929,331.35

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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.