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Finding the Fourth Proportional to 194,835,470,897.90, 292,253,206,346.85 and 194,835,470,897.90

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Solution

The fourth proportional to 194,835,470,897.90, 292,253,206,346.85 and 194,835,470,897.90 is: 292,253,206,346.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,835,470,897.90 : 292,253,206,346.85 = 194,835,470,897.90 : x
  2. Step 2: Convert to fraction form
    194,835,470,897.90/292,253,206,346.85 = 194,835,470,897.90/x
  3. Step 3: Cross multiply
    194,835,470,897.90x = 292,253,206,346.85 × 194,835,470,897.90
  4. Step 4: Simplify right side
    194,835,470,897.90x = 56,941,291,080,009,650,274,304
  5. Step 5: Solve for x
    x = 56,941,291,080,009,650,274,304/194,835,470,897.90
  6. Step 6: Final answer
    x = 292,253,206,346.85

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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.