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Finding the Fourth Proportional to 997,272,023.10, 1,495,908,034.65 and 670,754,672.70

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Solution

The fourth proportional to 997,272,023.10, 1,495,908,034.65 and 670,754,672.70 is: 1,006,132,009.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,272,023.10 : 1,495,908,034.65 = 670,754,672.70 : x
  2. Step 2: Convert to fraction form
    997,272,023.10/1,495,908,034.65 = 670,754,672.70/x
  3. Step 3: Cross multiply
    997,272,023.10x = 1,495,908,034.65 × 670,754,672.70
  4. Step 4: Simplify right side
    997,272,023.10x = 1,003,387,304,170,961,152
  5. Step 5: Solve for x
    x = 1,003,387,304,170,961,152/997,272,023.10
  6. Step 6: Final answer
    x = 1,006,132,009.05

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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.