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Finding the Fourth Proportional to 92,205,418,200.30, 138,308,127,300.45 and 92,205,418,200.30

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Solution

The fourth proportional to 92,205,418,200.30, 138,308,127,300.45 and 92,205,418,200.30 is: 138,308,127,300.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,205,418,200.30 : 138,308,127,300.45 = 92,205,418,200.30 : x
  2. Step 2: Convert to fraction form
    92,205,418,200.30/138,308,127,300.45 = 92,205,418,200.30/x
  3. Step 3: Cross multiply
    92,205,418,200.30x = 138,308,127,300.45 × 92,205,418,200.30
  4. Step 4: Simplify right side
    92,205,418,200.30x = 12,752,758,718,238,323,376,128
  5. Step 5: Solve for x
    x = 12,752,758,718,238,323,376,128/92,205,418,200.30
  6. Step 6: Final answer
    x = 138,308,127,300.45

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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.