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Finding the Fourth Proportional to 137,905,830,047.30, 206,858,745,070.95 and 137,905,830,047.30

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Solution

The fourth proportional to 137,905,830,047.30, 206,858,745,070.95 and 137,905,830,047.30 is: 206,858,745,070.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,905,830,047.30 : 206,858,745,070.95 = 137,905,830,047.30 : x
  2. Step 2: Convert to fraction form
    137,905,830,047.30/206,858,745,070.95 = 137,905,830,047.30/x
  3. Step 3: Cross multiply
    137,905,830,047.30x = 206,858,745,070.95 × 137,905,830,047.30
  4. Step 4: Simplify right side
    137,905,830,047.30x = 28,527,026,941,552,188,456,960
  5. Step 5: Solve for x
    x = 28,527,026,941,552,188,456,960/137,905,830,047.30
  6. Step 6: Final answer
    x = 206,858,745,070.95

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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.