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Finding the Fourth Proportional to 309,461,269.20, 464,191,903.80 and 309,461,269.20

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Solution

The fourth proportional to 309,461,269.20, 464,191,903.80 and 309,461,269.20 is: 464,191,903.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,461,269.20 : 464,191,903.80 = 309,461,269.20 : x
  2. Step 2: Convert to fraction form
    309,461,269.20/464,191,903.80 = 309,461,269.20/x
  3. Step 3: Cross multiply
    309,461,269.20x = 464,191,903.80 × 309,461,269.20
  4. Step 4: Simplify right side
    309,461,269.20x = 143,649,415,702,312,304
  5. Step 5: Solve for x
    x = 143,649,415,702,312,304/309,461,269.20
  6. Step 6: Final answer
    x = 464,191,903.80

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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.