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Finding the Fourth Proportional to 121,142,304,597.20, 181,713,456,895.80 and 121,142,304,597.20

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Solution

The fourth proportional to 121,142,304,597.20, 181,713,456,895.80 and 121,142,304,597.20 is: 181,713,456,895.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,142,304,597.20 : 181,713,456,895.80 = 121,142,304,597.20 : x
  2. Step 2: Convert to fraction form
    121,142,304,597.20/181,713,456,895.80 = 121,142,304,597.20/x
  3. Step 3: Cross multiply
    121,142,304,597.20x = 181,713,456,895.80 × 121,142,304,597.20
  4. Step 4: Simplify right side
    121,142,304,597.20x = 22,013,186,944,681,172,271,104
  5. Step 5: Solve for x
    x = 22,013,186,944,681,172,271,104/121,142,304,597.20
  6. Step 6: Final answer
    x = 181,713,456,895.80

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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.