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Finding the Fourth Proportional to 1,293,672,475.92, 1,785,268,016.72 and 736,807,338.48

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Solution

The fourth proportional to 1,293,672,475.92, 1,785,268,016.72 and 736,807,338.48 is: 1,016,794,127.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293,672,475.92 : 1,785,268,016.72 = 736,807,338.48 : x
  2. Step 2: Convert to fraction form
    1,293,672,475.92/1,785,268,016.72 = 736,807,338.48/x
  3. Step 3: Cross multiply
    1,293,672,475.92x = 1,785,268,016.72 × 736,807,338.48
  4. Step 4: Simplify right side
    1,293,672,475.92x = 1,315,398,575,872,931,328
  5. Step 5: Solve for x
    x = 1,315,398,575,872,931,328/1,293,672,475.92
  6. Step 6: Final answer
    x = 1,016,794,127.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.