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Finding the Fourth Proportional to 403,642,729.20, 565,482,458.40 and 403,642,729.20

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Solution

The fourth proportional to 403,642,729.20, 565,482,458.40 and 403,642,729.20 is: 565,482,458.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,642,729.20 : 565,482,458.40 = 403,642,729.20 : x
  2. Step 2: Convert to fraction form
    403,642,729.20/565,482,458.40 = 403,642,729.20/x
  3. Step 3: Cross multiply
    403,642,729.20x = 565,482,458.40 × 403,642,729.20
  4. Step 4: Simplify right side
    403,642,729.20x = 228,252,882,823,301,440
  5. Step 5: Solve for x
    x = 228,252,882,823,301,440/403,642,729.20
  6. Step 6: Final answer
    x = 565,482,458.40

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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.