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Finding the Fourth Proportional to 463,676,205.40, 695,514,308.10 and 348,034,643.80

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Solution

The fourth proportional to 463,676,205.40, 695,514,308.10 and 348,034,643.80 is: 522,051,965.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,676,205.40 : 695,514,308.10 = 348,034,643.80 : x
  2. Step 2: Convert to fraction form
    463,676,205.40/695,514,308.10 = 348,034,643.80/x
  3. Step 3: Cross multiply
    463,676,205.40x = 695,514,308.10 × 348,034,643.80
  4. Step 4: Simplify right side
    463,676,205.40x = 242,063,074,477,386,976
  5. Step 5: Solve for x
    x = 242,063,074,477,386,976/463,676,205.40
  6. Step 6: Final answer
    x = 522,051,965.70

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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.