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Finding the Fourth Proportional to 744,764,018.68, 1,027,736,359.68 and 410,229,339.52

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Solution

The fourth proportional to 744,764,018.68, 1,027,736,359.68 and 410,229,339.52 is: 566,095,565.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    744,764,018.68 : 1,027,736,359.68 = 410,229,339.52 : x
  2. Step 2: Convert to fraction form
    744,764,018.68/1,027,736,359.68 = 410,229,339.52/x
  3. Step 3: Cross multiply
    744,764,018.68x = 1,027,736,359.68 × 410,229,339.52
  4. Step 4: Simplify right side
    744,764,018.68x = 421,607,608,032,215,488
  5. Step 5: Solve for x
    x = 421,607,608,032,215,488/744,764,018.68
  6. Step 6: Final answer
    x = 566,095,565.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.