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Finding the Fourth Proportional to 346,218,511,092.90, 519,327,766,639.35 and 346,218,511,092.90

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Solution

The fourth proportional to 346,218,511,092.90, 519,327,766,639.35 and 346,218,511,092.90 is: 519,327,766,639.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,218,511,092.90 : 519,327,766,639.35 = 346,218,511,092.90 : x
  2. Step 2: Convert to fraction form
    346,218,511,092.90/519,327,766,639.35 = 346,218,511,092.90/x
  3. Step 3: Cross multiply
    346,218,511,092.90x = 519,327,766,639.35 × 346,218,511,092.90
  4. Step 4: Simplify right side
    346,218,511,092.90x = 179,800,886,135,076,799,119,360
  5. Step 5: Solve for x
    x = 179,800,886,135,076,799,119,360/346,218,511,092.90
  6. Step 6: Final answer
    x = 519,327,766,639.35

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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.