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Finding the Fourth Proportional to 870,969,710.90, 1,306,454,566.35 and 224,737,454.90

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Solution

The fourth proportional to 870,969,710.90, 1,306,454,566.35 and 224,737,454.90 is: 337,106,182.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,969,710.90 : 1,306,454,566.35 = 224,737,454.90 : x
  2. Step 2: Convert to fraction form
    870,969,710.90/1,306,454,566.35 = 224,737,454.90/x
  3. Step 3: Cross multiply
    870,969,710.90x = 1,306,454,566.35 × 224,737,454.90
  4. Step 4: Simplify right side
    870,969,710.90x = 293,609,274,183,982,144
  5. Step 5: Solve for x
    x = 293,609,274,183,982,144/870,969,710.90
  6. Step 6: Final answer
    x = 337,106,182.35

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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.