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Finding the Fourth Proportional to 194,679,859,098.30, 292,019,788,647.45 and 194,679,859,098.30

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Solution

The fourth proportional to 194,679,859,098.30, 292,019,788,647.45 and 194,679,859,098.30 is: 292,019,788,647.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,679,859,098.30 : 292,019,788,647.45 = 194,679,859,098.30 : x
  2. Step 2: Convert to fraction form
    194,679,859,098.30/292,019,788,647.45 = 194,679,859,098.30/x
  3. Step 3: Cross multiply
    194,679,859,098.30x = 292,019,788,647.45 × 194,679,859,098.30
  4. Step 4: Simplify right side
    194,679,859,098.30x = 56,850,371,307,800,908,267,520
  5. Step 5: Solve for x
    x = 56,850,371,307,800,908,267,520/194,679,859,098.30
  6. Step 6: Final answer
    x = 292,019,788,647.45

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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.