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Finding the Fourth Proportional to 121,142,304,918.20, 181,713,457,377.30 and 121,142,304,918.20

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Solution

The fourth proportional to 121,142,304,918.20, 181,713,457,377.30 and 121,142,304,918.20 is: 181,713,457,377.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,142,304,918.20 : 181,713,457,377.30 = 121,142,304,918.20 : x
  2. Step 2: Convert to fraction form
    121,142,304,918.20/181,713,457,377.30 = 121,142,304,918.20/x
  3. Step 3: Cross multiply
    121,142,304,918.20x = 181,713,457,377.30 × 121,142,304,918.20
  4. Step 4: Simplify right side
    121,142,304,918.20x = 22,013,187,061,341,212,377,088
  5. Step 5: Solve for x
    x = 22,013,187,061,341,212,377,088/121,142,304,918.20
  6. Step 6: Final answer
    x = 181,713,457,377.30

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1.5x scale

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.