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Finding the Fourth Proportional to 310,771,301.80, 466,156,952.70 and 297,502,335.40

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Solution

The fourth proportional to 310,771,301.80, 466,156,952.70 and 297,502,335.40 is: 446,253,503.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,771,301.80 : 466,156,952.70 = 297,502,335.40 : x
  2. Step 2: Convert to fraction form
    310,771,301.80/466,156,952.70 = 297,502,335.40/x
  3. Step 3: Cross multiply
    310,771,301.80x = 466,156,952.70 × 297,502,335.40
  4. Step 4: Simplify right side
    310,771,301.80x = 138,682,782,091,197,328
  5. Step 5: Solve for x
    x = 138,682,782,091,197,328/310,771,301.80
  6. Step 6: Final answer
    x = 446,253,503.10

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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.