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Finding the Fourth Proportional to 770,714,813.08, 1,063,594,098.30 and 418,293,934.84

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Solution

The fourth proportional to 770,714,813.08, 1,063,594,098.30 and 418,293,934.84 is: 577,249,785.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,714,813.08 : 1,063,594,098.30 = 418,293,934.84 : x
  2. Step 2: Convert to fraction form
    770,714,813.08/1,063,594,098.30 = 418,293,934.84/x
  3. Step 3: Cross multiply
    770,714,813.08x = 1,063,594,098.30 × 418,293,934.84
  4. Step 4: Simplify right side
    770,714,813.08x = 444,894,960,450,508,736
  5. Step 5: Solve for x
    x = 444,894,960,450,508,736/770,714,813.08
  6. Step 6: Final answer
    x = 577,249,785.39

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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.