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Finding the Fourth Proportional to 121,321,152,014.30, 181,736,840,008.65 and 121,321,152,014.30

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Solution

The fourth proportional to 121,321,152,014.30, 181,736,840,008.65 and 121,321,152,014.30 is: 181,736,840,008.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,321,152,014.30 : 181,736,840,008.65 = 121,321,152,014.30 : x
  2. Step 2: Convert to fraction form
    121,321,152,014.30/181,736,840,008.65 = 121,321,152,014.30/x
  3. Step 3: Cross multiply
    121,321,152,014.30x = 181,736,840,008.65 × 121,321,152,014.30
  4. Step 4: Simplify right side
    121,321,152,014.30x = 22,048,522,793,287,946,338,304
  5. Step 5: Solve for x
    x = 22,048,522,793,287,946,338,304/121,321,152,014.30
  6. Step 6: Final answer
    x = 181,736,840,008.65

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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.