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Finding the Fourth Proportional to 580,640,803.20, 870,961,204.80 and 471,801,686.40

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Solution

The fourth proportional to 580,640,803.20, 870,961,204.80 and 471,801,686.40 is: 707,702,529.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,640,803.20 : 870,961,204.80 = 471,801,686.40 : x
  2. Step 2: Convert to fraction form
    580,640,803.20/870,961,204.80 = 471,801,686.40/x
  3. Step 3: Cross multiply
    580,640,803.20x = 870,961,204.80 × 471,801,686.40
  4. Step 4: Simplify right side
    580,640,803.20x = 410,920,965,213,615,744
  5. Step 5: Solve for x
    x = 410,920,965,213,615,744/580,640,803.20
  6. Step 6: Final answer
    x = 707,702,529.60

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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.