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Finding the Fourth Proportional to 442,600,193.40, 620,547,263.40 and 442,600,193.40

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Solution

The fourth proportional to 442,600,193.40, 620,547,263.40 and 442,600,193.40 is: 620,547,263.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,600,193.40 : 620,547,263.40 = 442,600,193.40 : x
  2. Step 2: Convert to fraction form
    442,600,193.40/620,547,263.40 = 442,600,193.40/x
  3. Step 3: Cross multiply
    442,600,193.40x = 620,547,263.40 × 442,600,193.40
  4. Step 4: Simplify right side
    442,600,193.40x = 274,654,338,794,680,704
  5. Step 5: Solve for x
    x = 274,654,338,794,680,704/442,600,193.40
  6. Step 6: Final answer
    x = 620,547,263.40

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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.