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Finding the Fourth Proportional to 16,176,026,269.60, 24,264,039,404.40 and 16,176,026,269.60

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Solution

The fourth proportional to 16,176,026,269.60, 24,264,039,404.40 and 16,176,026,269.60 is: 24,264,039,404.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,176,026,269.60 : 24,264,039,404.40 = 16,176,026,269.60 : x
  2. Step 2: Convert to fraction form
    16,176,026,269.60/24,264,039,404.40 = 16,176,026,269.60/x
  3. Step 3: Cross multiply
    16,176,026,269.60x = 24,264,039,404.40 × 16,176,026,269.60
  4. Step 4: Simplify right side
    16,176,026,269.60x = 392,495,738,812,184,002,560
  5. Step 5: Solve for x
    x = 392,495,738,812,184,002,560/16,176,026,269.60
  6. Step 6: Final answer
    x = 24,264,039,404.40

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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.