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Finding the Fourth Proportional to 403,575,411.30, 604,406,523.15 and 403,575,411.30

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Solution

The fourth proportional to 403,575,411.30, 604,406,523.15 and 403,575,411.30 is: 604,406,523.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,575,411.30 : 604,406,523.15 = 403,575,411.30 : x
  2. Step 2: Convert to fraction form
    403,575,411.30/604,406,523.15 = 403,575,411.30/x
  3. Step 3: Cross multiply
    403,575,411.30x = 604,406,523.15 × 403,575,411.30
  4. Step 4: Simplify right side
    403,575,411.30x = 243,923,611,172,664,224
  5. Step 5: Solve for x
    x = 243,923,611,172,664,224/403,575,411.30
  6. Step 6: Final answer
    x = 604,406,523.15

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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.