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Finding the Fourth Proportional to 427,182,403.60, 640,773,605.40 and 427,182,403.60

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Solution

The fourth proportional to 427,182,403.60, 640,773,605.40 and 427,182,403.60 is: 640,773,605.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,182,403.60 : 640,773,605.40 = 427,182,403.60 : x
  2. Step 2: Convert to fraction form
    427,182,403.60/640,773,605.40 = 427,182,403.60/x
  3. Step 3: Cross multiply
    427,182,403.60x = 640,773,605.40 × 427,182,403.60
  4. Step 4: Simplify right side
    427,182,403.60x = 273,727,208,918,209,952
  5. Step 5: Solve for x
    x = 273,727,208,918,209,952/427,182,403.60
  6. Step 6: Final answer
    x = 640,773,605.40

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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.