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Finding the Fourth Proportional to 460,109,808,001.20, 690,164,712,001.80 and 460,109,808,001.20

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Solution

The fourth proportional to 460,109,808,001.20, 690,164,712,001.80 and 460,109,808,001.20 is: 690,164,712,001.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,109,808,001.20 : 690,164,712,001.80 = 460,109,808,001.20 : x
  2. Step 2: Convert to fraction form
    460,109,808,001.20/690,164,712,001.80 = 460,109,808,001.20/x
  3. Step 3: Cross multiply
    460,109,808,001.20x = 690,164,712,001.80 × 460,109,808,001.20
  4. Step 4: Simplify right side
    460,109,808,001.20x = 317,551,553,128,351,722,897,408
  5. Step 5: Solve for x
    x = 317,551,553,128,351,722,897,408/460,109,808,001.20
  6. Step 6: Final answer
    x = 690,164,712,001.80

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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.