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Finding the Fourth Proportional to 488,566,367.80, 732,955,839.90 and 160,986,135.40

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Solution

The fourth proportional to 488,566,367.80, 732,955,839.90 and 160,986,135.40 is: 241,514,225.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,566,367.80 : 732,955,839.90 = 160,986,135.40 : x
  2. Step 2: Convert to fraction form
    488,566,367.80/732,955,839.90 = 160,986,135.40/x
  3. Step 3: Cross multiply
    488,566,367.80x = 732,955,839.90 × 160,986,135.40
  4. Step 4: Simplify right side
    488,566,367.80x = 117,995,728,084,362,128
  5. Step 5: Solve for x
    x = 117,995,728,084,362,128/488,566,367.80
  6. Step 6: Final answer
    x = 241,514,225.83

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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.