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Finding the Fourth Proportional to 463,676,206.40, 695,514,309.60 and 348,034,644.80

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Solution

The fourth proportional to 463,676,206.40, 695,514,309.60 and 348,034,644.80 is: 522,051,967.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,676,206.40 : 695,514,309.60 = 348,034,644.80 : x
  2. Step 2: Convert to fraction form
    463,676,206.40/695,514,309.60 = 348,034,644.80/x
  3. Step 3: Cross multiply
    463,676,206.40x = 695,514,309.60 × 348,034,644.80
  4. Step 4: Simplify right side
    463,676,206.40x = 242,063,075,694,953,248
  5. Step 5: Solve for x
    x = 242,063,075,694,953,248/463,676,206.40
  6. Step 6: Final answer
    x = 522,051,967.20

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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.