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Finding the Fourth Proportional to 561,488,045.18, 842,232,067.76 and 561,488,045.18

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Solution

The fourth proportional to 561,488,045.18, 842,232,067.76 and 561,488,045.18 is: 842,232,067.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,488,045.18 : 842,232,067.76 = 561,488,045.18 : x
  2. Step 2: Convert to fraction form
    561,488,045.18/842,232,067.76 = 561,488,045.18/x
  3. Step 3: Cross multiply
    561,488,045.18x = 842,232,067.76 × 561,488,045.18
  4. Step 4: Simplify right side
    561,488,045.18x = 472,903,237,311,664,256
  5. Step 5: Solve for x
    x = 472,903,237,311,664,256/561,488,045.18
  6. Step 6: Final answer
    x = 842,232,067.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.