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Finding the Fourth Proportional to 580,278,045.60, 870,417,068.40 and 580,278,045.60

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Solution

The fourth proportional to 580,278,045.60, 870,417,068.40 and 580,278,045.60 is: 870,417,068.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,278,045.60 : 870,417,068.40 = 580,278,045.60 : x
  2. Step 2: Convert to fraction form
    580,278,045.60/870,417,068.40 = 580,278,045.60/x
  3. Step 3: Cross multiply
    580,278,045.60x = 870,417,068.40 × 580,278,045.60
  4. Step 4: Simplify right side
    580,278,045.60x = 505,083,915,308,033,536
  5. Step 5: Solve for x
    x = 505,083,915,308,033,536/580,278,045.60
  6. Step 6: Final answer
    x = 870,417,068.40

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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.