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Finding the Fourth Proportional to 274,710,753,671.95, 412,066,130,507.93 and 274,710,753,671.95

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Solution

The fourth proportional to 274,710,753,671.95, 412,066,130,507.93 and 274,710,753,671.95 is: 412,066,130,507.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,710,753,671.95 : 412,066,130,507.93 = 274,710,753,671.95 : x
  2. Step 2: Convert to fraction form
    274,710,753,671.95/412,066,130,507.93 = 274,710,753,671.95/x
  3. Step 3: Cross multiply
    274,710,753,671.95x = 412,066,130,507.93 × 274,710,753,671.95
  4. Step 4: Simplify right side
    274,710,753,671.95x = 113,198,997,274,517,565,341,696
  5. Step 5: Solve for x
    x = 113,198,997,274,517,565,341,696/274,710,753,671.95
  6. Step 6: Final answer
    x = 412,066,130,507.93

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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.