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Finding the Fourth Proportional to 586,761,602.40, 880,142,403.60 and 520,437,765.60

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Solution

The fourth proportional to 586,761,602.40, 880,142,403.60 and 520,437,765.60 is: 780,656,648.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,761,602.40 : 880,142,403.60 = 520,437,765.60 : x
  2. Step 2: Convert to fraction form
    586,761,602.40/880,142,403.60 = 520,437,765.60/x
  3. Step 3: Cross multiply
    586,761,602.40x = 880,142,403.60 × 520,437,765.60
  4. Step 4: Simplify right side
    586,761,602.40x = 458,059,345,939,397,440
  5. Step 5: Solve for x
    x = 458,059,345,939,397,440/586,761,602.40
  6. Step 6: Final answer
    x = 780,656,648.40

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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.