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Finding the Fourth Proportional to 406,775,999.60, 610,163,999.40 and 134,132,332.40

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Solution

The fourth proportional to 406,775,999.60, 610,163,999.40 and 134,132,332.40 is: 201,198,498.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,775,999.60 : 610,163,999.40 = 134,132,332.40 : x
  2. Step 2: Convert to fraction form
    406,775,999.60/610,163,999.40 = 134,132,332.40/x
  3. Step 3: Cross multiply
    406,775,999.60x = 610,163,999.40 × 134,132,332.40
  4. Step 4: Simplify right side
    406,775,999.60x = 81,842,720,386,034,208
  5. Step 5: Solve for x
    x = 81,842,720,386,034,208/406,775,999.60
  6. Step 6: Final answer
    x = 201,198,498.60

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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.