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Finding the Fourth Proportional to 747,954,032.40, 1,048,857,514.20 and 747,954,032.40

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Solution

The fourth proportional to 747,954,032.40, 1,048,857,514.20 and 747,954,032.40 is: 1,048,857,514.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,954,032.40 : 1,048,857,514.20 = 747,954,032.40 : x
  2. Step 2: Convert to fraction form
    747,954,032.40/1,048,857,514.20 = 747,954,032.40/x
  3. Step 3: Cross multiply
    747,954,032.40x = 1,048,857,514.20 × 747,954,032.40
  4. Step 4: Simplify right side
    747,954,032.40x = 784,497,207,158,930,304
  5. Step 5: Solve for x
    x = 784,497,207,158,930,304/747,954,032.40
  6. Step 6: Final answer
    x = 1,048,857,514.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.