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Finding the Fourth Proportional to 647,440,269.60, 971,160,404.40 and 450,169,370.40

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Solution

The fourth proportional to 647,440,269.60, 971,160,404.40 and 450,169,370.40 is: 675,254,055.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,440,269.60 : 971,160,404.40 = 450,169,370.40 : x
  2. Step 2: Convert to fraction form
    647,440,269.60/971,160,404.40 = 450,169,370.40/x
  3. Step 3: Cross multiply
    647,440,269.60x = 971,160,404.40 × 450,169,370.40
  4. Step 4: Simplify right side
    647,440,269.60x = 437,186,667,806,157,376
  5. Step 5: Solve for x
    x = 437,186,667,806,157,376/647,440,269.60
  6. Step 6: Final answer
    x = 675,254,055.60

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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.