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Finding the Fourth Proportional to 304,128,213.40, 456,192,320.10 and 304,128,213.40

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Solution

The fourth proportional to 304,128,213.40, 456,192,320.10 and 304,128,213.40 is: 456,192,320.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,128,213.40 : 456,192,320.10 = 304,128,213.40 : x
  2. Step 2: Convert to fraction form
    304,128,213.40/456,192,320.10 = 304,128,213.40/x
  3. Step 3: Cross multiply
    304,128,213.40x = 456,192,320.10 × 304,128,213.40
  4. Step 4: Simplify right side
    304,128,213.40x = 138,740,955,278,813,904
  5. Step 5: Solve for x
    x = 138,740,955,278,813,904/304,128,213.40
  6. Step 6: Final answer
    x = 456,192,320.10

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1.5x scale

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.