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Finding the Fourth Proportional to 782,301,644.10, 1,173,452,466.15 and 782,301,644.10

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Solution

The fourth proportional to 782,301,644.10, 1,173,452,466.15 and 782,301,644.10 is: 1,173,452,466.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,301,644.10 : 1,173,452,466.15 = 782,301,644.10 : x
  2. Step 2: Convert to fraction form
    782,301,644.10/1,173,452,466.15 = 782,301,644.10/x
  3. Step 3: Cross multiply
    782,301,644.10x = 1,173,452,466.15 × 782,301,644.10
  4. Step 4: Simplify right side
    782,301,644.10x = 917,993,793,542,344,704
  5. Step 5: Solve for x
    x = 917,993,793,542,344,704/782,301,644.10
  6. Step 6: Final answer
    x = 1,173,452,466.15

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1.5x scale

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.