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Finding the Fourth Proportional to 463,648,909.40, 695,473,364.10 and 457,602,291.80

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Solution

The fourth proportional to 463,648,909.40, 695,473,364.10 and 457,602,291.80 is: 686,403,437.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,648,909.40 : 695,473,364.10 = 457,602,291.80 : x
  2. Step 2: Convert to fraction form
    463,648,909.40/695,473,364.10 = 457,602,291.80/x
  3. Step 3: Cross multiply
    463,648,909.40x = 695,473,364.10 × 457,602,291.80
  4. Step 4: Simplify right side
    463,648,909.40x = 318,250,205,298,015,872
  5. Step 5: Solve for x
    x = 318,250,205,298,015,872/463,648,909.40
  6. Step 6: Final answer
    x = 686,403,437.70

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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.