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Finding the Fourth Proportional to 121,277,892,032.40, 181,916,838,048.60 and 121,277,892,032.40

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Solution

The fourth proportional to 121,277,892,032.40, 181,916,838,048.60 and 121,277,892,032.40 is: 181,916,838,048.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,277,892,032.40 : 181,916,838,048.60 = 121,277,892,032.40 : x
  2. Step 2: Convert to fraction form
    121,277,892,032.40/181,916,838,048.60 = 121,277,892,032.40/x
  3. Step 3: Cross multiply
    121,277,892,032.40x = 181,916,838,048.60 × 121,277,892,032.40
  4. Step 4: Simplify right side
    121,277,892,032.40x = 22,062,490,643,733,705,392,128
  5. Step 5: Solve for x
    x = 22,062,490,643,733,705,392,128/121,277,892,032.40
  6. Step 6: Final answer
    x = 181,916,838,048.60

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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.