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Finding the Fourth Proportional to 423,418,752,000.40, 635,128,128,000.60 and 423,418,752,000.40

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Solution

The fourth proportional to 423,418,752,000.40, 635,128,128,000.60 and 423,418,752,000.40 is: 635,128,128,000.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,418,752,000.40 : 635,128,128,000.60 = 423,418,752,000.40 : x
  2. Step 2: Convert to fraction form
    423,418,752,000.40/635,128,128,000.60 = 423,418,752,000.40/x
  3. Step 3: Cross multiply
    423,418,752,000.40x = 635,128,128,000.60 × 423,418,752,000.40
  4. Step 4: Simplify right side
    423,418,752,000.40x = 268,925,159,318,364,364,996,608
  5. Step 5: Solve for x
    x = 268,925,159,318,364,364,996,608/423,418,752,000.40
  6. Step 6: Final answer
    x = 635,128,128,000.60

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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.