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Finding the Fourth Proportional to 677,605,499.60, 1,014,495,061.80 and 677,605,499.60

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Solution

The fourth proportional to 677,605,499.60, 1,014,495,061.80 and 677,605,499.60 is: 1,014,495,061.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,605,499.60 : 1,014,495,061.80 = 677,605,499.60 : x
  2. Step 2: Convert to fraction form
    677,605,499.60/1,014,495,061.80 = 677,605,499.60/x
  3. Step 3: Cross multiply
    677,605,499.60x = 1,014,495,061.80 × 677,605,499.60
  4. Step 4: Simplify right side
    677,605,499.60x = 687,427,433,192,721,920
  5. Step 5: Solve for x
    x = 687,427,433,192,721,920/677,605,499.60
  6. Step 6: Final answer
    x = 1,014,495,061.80

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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.