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Finding the Fourth Proportional to 3,165,783,552,024.20, 4,748,675,328,036.20 and 3,165,783,552,024.20

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Solution

The fourth proportional to 3,165,783,552,024.20, 4,748,675,328,036.20 and 3,165,783,552,024.20 is: 4,748,675,328,036.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165,783,552,024.20 : 4,748,675,328,036.20 = 3,165,783,552,024.20 : x
  2. Step 2: Convert to fraction form
    3,165,783,552,024.20/4,748,675,328,036.20 = 3,165,783,552,024.20/x
  3. Step 3: Cross multiply
    3,165,783,552,024.20x = 4,748,675,328,036.20 × 3,165,783,552,024.20
  4. Step 4: Simplify right side
    3,165,783,552,024.20x = 15,033,278,247,400,126,069,866,496
  5. Step 5: Solve for x
    x = 15,033,278,247,400,126,069,866,496/3,165,783,552,024.20
  6. Step 6: Final answer
    x = 4,748,675,328,036.20

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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.