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Finding the Fourth Proportional to 117,348,687,430.20, 176,023,031,145.30 and 117,348,687,430.20

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Solution

The fourth proportional to 117,348,687,430.20, 176,023,031,145.30 and 117,348,687,430.20 is: 176,023,031,145.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,348,687,430.20 : 176,023,031,145.30 = 117,348,687,430.20 : x
  2. Step 2: Convert to fraction form
    117,348,687,430.20/176,023,031,145.30 = 117,348,687,430.20/x
  3. Step 3: Cross multiply
    117,348,687,430.20x = 176,023,031,145.30 × 117,348,687,430.20
  4. Step 4: Simplify right side
    117,348,687,430.20x = 20,656,071,662,386,167,152,640
  5. Step 5: Solve for x
    x = 20,656,071,662,386,167,152,640/117,348,687,430.20
  6. Step 6: Final answer
    x = 176,023,031,145.30

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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.