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Finding the Fourth Proportional to 503,836,335.40, 755,754,503.10 and 475,138,521.40

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Solution

The fourth proportional to 503,836,335.40, 755,754,503.10 and 475,138,521.40 is: 712,707,782.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,836,335.40 : 755,754,503.10 = 475,138,521.40 : x
  2. Step 2: Convert to fraction form
    503,836,335.40/755,754,503.10 = 475,138,521.40/x
  3. Step 3: Cross multiply
    503,836,335.40x = 755,754,503.10 × 475,138,521.40
  4. Step 4: Simplify right side
    503,836,335.40x = 359,088,077,144,325,696
  5. Step 5: Solve for x
    x = 359,088,077,144,325,696/503,836,335.40
  6. Step 6: Final answer
    x = 712,707,782.10

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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.