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Finding the Fourth Proportional to 586,735,375.20, 880,103,062.80 and 177,738,381.60

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Solution

The fourth proportional to 586,735,375.20, 880,103,062.80 and 177,738,381.60 is: 266,607,572.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,735,375.20 : 880,103,062.80 = 177,738,381.60 : x
  2. Step 2: Convert to fraction form
    586,735,375.20/880,103,062.80 = 177,738,381.60/x
  3. Step 3: Cross multiply
    586,735,375.20x = 880,103,062.80 × 177,738,381.60
  4. Step 4: Simplify right side
    586,735,375.20x = 156,428,094,023,275,136
  5. Step 5: Solve for x
    x = 156,428,094,023,275,136/586,735,375.20
  6. Step 6: Final answer
    x = 266,607,572.40

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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.