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Finding the Fourth Proportional to 121,142,304,881.70, 181,713,457,322.55 and 121,142,304,881.70

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Solution

The fourth proportional to 121,142,304,881.70, 181,713,457,322.55 and 121,142,304,881.70 is: 181,713,457,322.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,142,304,881.70 : 181,713,457,322.55 = 121,142,304,881.70 : x
  2. Step 2: Convert to fraction form
    121,142,304,881.70/181,713,457,322.55 = 121,142,304,881.70/x
  3. Step 3: Cross multiply
    121,142,304,881.70x = 181,713,457,322.55 × 121,142,304,881.70
  4. Step 4: Simplify right side
    121,142,304,881.70x = 22,013,187,048,076,130,385,920
  5. Step 5: Solve for x
    x = 22,013,187,048,076,130,385,920/121,142,304,881.70
  6. Step 6: Final answer
    x = 181,713,457,322.55

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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.