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Finding the Fourth Proportional to 537,840,905.80, 805,627,617.90 and 537,840,905.80

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Solution

The fourth proportional to 537,840,905.80, 805,627,617.90 and 537,840,905.80 is: 805,627,617.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,840,905.80 : 805,627,617.90 = 537,840,905.80 : x
  2. Step 2: Convert to fraction form
    537,840,905.80/805,627,617.90 = 537,840,905.80/x
  3. Step 3: Cross multiply
    537,840,905.80x = 805,627,617.90 × 537,840,905.80
  4. Step 4: Simplify right side
    537,840,905.80x = 433,299,487,748,832,256
  5. Step 5: Solve for x
    x = 433,299,487,748,832,256/537,840,905.80
  6. Step 6: Final answer
    x = 805,627,617.90

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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.