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Finding the Fourth Proportional to 121,043,485,478.40, 181,238,710,867.20 and 121,043,485,478.40

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Solution

The fourth proportional to 121,043,485,478.40, 181,238,710,867.20 and 121,043,485,478.40 is: 181,238,710,867.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,043,485,478.40 : 181,238,710,867.20 = 121,043,485,478.40 : x
  2. Step 2: Convert to fraction form
    121,043,485,478.40/181,238,710,867.20 = 121,043,485,478.40/x
  3. Step 3: Cross multiply
    121,043,485,478.40x = 181,238,710,867.20 × 121,043,485,478.40
  4. Step 4: Simplify right side
    121,043,485,478.40x = 21,937,765,266,977,858,781,184
  5. Step 5: Solve for x
    x = 21,937,765,266,977,858,781,184/121,043,485,478.40
  6. Step 6: Final answer
    x = 181,238,710,867.20

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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.