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Finding the Fourth Proportional to 403,634,008.80, 566,618,162.40 and 403,634,008.80

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Solution

The fourth proportional to 403,634,008.80, 566,618,162.40 and 403,634,008.80 is: 566,618,162.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,634,008.80 : 566,618,162.40 = 403,634,008.80 : x
  2. Step 2: Convert to fraction form
    403,634,008.80/566,618,162.40 = 403,634,008.80/x
  3. Step 3: Cross multiply
    403,634,008.80x = 566,618,162.40 × 403,634,008.80
  4. Step 4: Simplify right side
    403,634,008.80x = 228,706,360,348,401,440
  5. Step 5: Solve for x
    x = 228,706,360,348,401,440/403,634,008.80
  6. Step 6: Final answer
    x = 566,618,162.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.