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Finding the Fourth Proportional to 559,873,999.20, 782,009,613.60 and 559,873,999.20

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Solution

The fourth proportional to 559,873,999.20, 782,009,613.60 and 559,873,999.20 is: 782,009,613.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,873,999.20 : 782,009,613.60 = 559,873,999.20 : x
  2. Step 2: Convert to fraction form
    559,873,999.20/782,009,613.60 = 559,873,999.20/x
  3. Step 3: Cross multiply
    559,873,999.20x = 782,009,613.60 × 559,873,999.20
  4. Step 4: Simplify right side
    559,873,999.20x = 437,826,849,779,078,784
  5. Step 5: Solve for x
    x = 437,826,849,779,078,784/559,873,999.20
  6. Step 6: Final answer
    x = 782,009,613.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.