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Finding the Fourth Proportional to 121,277,892,049.40, 181,916,838,074.10 and 121,277,892,049.40

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Solution

The fourth proportional to 121,277,892,049.40, 181,916,838,074.10 and 121,277,892,049.40 is: 181,916,838,074.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,277,892,049.40 : 181,916,838,074.10 = 121,277,892,049.40 : x
  2. Step 2: Convert to fraction form
    121,277,892,049.40/181,916,838,074.10 = 121,277,892,049.40/x
  3. Step 3: Cross multiply
    121,277,892,049.40x = 181,916,838,074.10 × 121,277,892,049.40
  4. Step 4: Simplify right side
    121,277,892,049.40x = 22,062,490,649,918,877,728,768
  5. Step 5: Solve for x
    x = 22,062,490,649,918,877,728,768/121,277,892,049.40
  6. Step 6: Final answer
    x = 181,916,838,074.10

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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.