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Finding the Fourth Proportional to 121,142,304,878.95, 181,713,457,318.42 and 121,142,304,878.95

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Solution

The fourth proportional to 121,142,304,878.95, 181,713,457,318.42 and 121,142,304,878.95 is: 181,713,457,318.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,142,304,878.95 : 181,713,457,318.42 = 121,142,304,878.95 : x
  2. Step 2: Convert to fraction form
    121,142,304,878.95/181,713,457,318.42 = 121,142,304,878.95/x
  3. Step 3: Cross multiply
    121,142,304,878.95x = 181,713,457,318.42 × 121,142,304,878.95
  4. Step 4: Simplify right side
    121,142,304,878.95x = 22,013,187,047,076,103,454,720
  5. Step 5: Solve for x
    x = 22,013,187,047,076,103,454,720/121,142,304,878.95
  6. Step 6: Final answer
    x = 181,713,457,318.42

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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.