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Finding the Fourth Proportional to 431,488,458,045.45, 647,232,687,068.18 and 431,488,458,045.45

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Solution

The fourth proportional to 431,488,458,045.45, 647,232,687,068.18 and 431,488,458,045.45 is: 647,232,687,068.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,488,458,045.45 : 647,232,687,068.18 = 431,488,458,045.45 : x
  2. Step 2: Convert to fraction form
    431,488,458,045.45/647,232,687,068.18 = 431,488,458,045.45/x
  3. Step 3: Cross multiply
    431,488,458,045.45x = 647,232,687,068.18 × 431,488,458,045.45
  4. Step 4: Simplify right side
    431,488,458,045.45x = 279,273,434,139,662,294,712,320
  5. Step 5: Solve for x
    x = 279,273,434,139,662,294,712,320/431,488,458,045.45
  6. Step 6: Final answer
    x = 647,232,687,068.18

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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.