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Finding the Fourth Proportional to 321,113,363.40, 450,465,701.40 and 321,113,363.40

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Solution

The fourth proportional to 321,113,363.40, 450,465,701.40 and 321,113,363.40 is: 450,465,701.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,113,363.40 : 450,465,701.40 = 321,113,363.40 : x
  2. Step 2: Convert to fraction form
    321,113,363.40/450,465,701.40 = 321,113,363.40/x
  3. Step 3: Cross multiply
    321,113,363.40x = 450,465,701.40 × 321,113,363.40
  4. Step 4: Simplify right side
    321,113,363.40x = 144,650,556,472,894,080
  5. Step 5: Solve for x
    x = 144,650,556,472,894,080/321,113,363.40
  6. Step 6: Final answer
    x = 450,465,701.40

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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.