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Finding the Fourth Proportional to 735,201,167.60, 1,031,864,437.90 and 735,201,167.60

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Solution

The fourth proportional to 735,201,167.60, 1,031,864,437.90 and 735,201,167.60 is: 1,031,864,437.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,201,167.60 : 1,031,864,437.90 = 735,201,167.60 : x
  2. Step 2: Convert to fraction form
    735,201,167.60/1,031,864,437.90 = 735,201,167.60/x
  3. Step 3: Cross multiply
    735,201,167.60x = 1,031,864,437.90 × 735,201,167.60
  4. Step 4: Simplify right side
    735,201,167.60x = 758,627,939,548,997,760
  5. Step 5: Solve for x
    x = 758,627,939,548,997,760/735,201,167.60
  6. Step 6: Final answer
    x = 1,031,864,437.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.