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Finding the Fourth Proportional to 300,312,465.40, 421,344,444.20 and 300,312,465.40

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Solution

The fourth proportional to 300,312,465.40, 421,344,444.20 and 300,312,465.40 is: 421,344,444.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,312,465.40 : 421,344,444.20 = 300,312,465.40 : x
  2. Step 2: Convert to fraction form
    300,312,465.40/421,344,444.20 = 300,312,465.40/x
  3. Step 3: Cross multiply
    300,312,465.40x = 421,344,444.20 × 300,312,465.40
  4. Step 4: Simplify right side
    300,312,465.40x = 126,534,988,820,294,720
  5. Step 5: Solve for x
    x = 126,534,988,820,294,720/300,312,465.40
  6. Step 6: Final answer
    x = 421,344,444.20

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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.