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Finding the Fourth Proportional to 287,385,732,000.90, 431,078,598,001.35 and 287,385,732,000.90

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Solution

The fourth proportional to 287,385,732,000.90, 431,078,598,001.35 and 287,385,732,000.90 is: 431,078,598,001.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,385,732,000.90 : 431,078,598,001.35 = 287,385,732,000.90 : x
  2. Step 2: Convert to fraction form
    287,385,732,000.90/431,078,598,001.35 = 287,385,732,000.90/x
  3. Step 3: Cross multiply
    287,385,732,000.90x = 431,078,598,001.35 × 287,385,732,000.90
  4. Step 4: Simplify right side
    287,385,732,000.90x = 123,885,838,436,539,681,472,512
  5. Step 5: Solve for x
    x = 123,885,838,436,539,681,472,512/287,385,732,000.90
  6. Step 6: Final answer
    x = 431,078,598,001.35

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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.