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Finding the Fourth Proportional to 586,735,319.20, 880,102,978.80 and 177,738,325.60

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Solution

The fourth proportional to 586,735,319.20, 880,102,978.80 and 177,738,325.60 is: 266,607,488.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,735,319.20 : 880,102,978.80 = 177,738,325.60 : x
  2. Step 2: Convert to fraction form
    586,735,319.20/880,102,978.80 = 177,738,325.60/x
  3. Step 3: Cross multiply
    586,735,319.20x = 880,102,978.80 × 177,738,325.60
  4. Step 4: Simplify right side
    586,735,319.20x = 156,428,029,807,484,288
  5. Step 5: Solve for x
    x = 156,428,029,807,484,288/586,735,319.20
  6. Step 6: Final answer
    x = 266,607,488.40

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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.