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Finding the Fourth Proportional to 344,908,265.40, 517,362,398.10 and 344,908,265.40

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Solution

The fourth proportional to 344,908,265.40, 517,362,398.10 and 344,908,265.40 is: 517,362,398.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,908,265.40 : 517,362,398.10 = 344,908,265.40 : x
  2. Step 2: Convert to fraction form
    344,908,265.40/517,362,398.10 = 344,908,265.40/x
  3. Step 3: Cross multiply
    344,908,265.40x = 517,362,398.10 × 344,908,265.40
  4. Step 4: Simplify right side
    344,908,265.40x = 178,442,567,311,855,264
  5. Step 5: Solve for x
    x = 178,442,567,311,855,264/344,908,265.40
  6. Step 6: Final answer
    x = 517,362,398.10

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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.