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Finding the Fourth Proportional to 537,840,903.30, 805,627,614.15 and 537,840,903.30

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Solution

The fourth proportional to 537,840,903.30, 805,627,614.15 and 537,840,903.30 is: 805,627,614.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,840,903.30 : 805,627,614.15 = 537,840,903.30 : x
  2. Step 2: Convert to fraction form
    537,840,903.30/805,627,614.15 = 537,840,903.30/x
  3. Step 3: Cross multiply
    537,840,903.30x = 805,627,614.15 × 537,840,903.30
  4. Step 4: Simplify right side
    537,840,903.30x = 433,299,483,717,859,840
  5. Step 5: Solve for x
    x = 433,299,483,717,859,840/537,840,903.30
  6. Step 6: Final answer
    x = 805,627,614.15

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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.