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Finding the Fourth Proportional to 442,602,443.90, 620,550,414.10 and 442,602,443.90

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Solution

The fourth proportional to 442,602,443.90, 620,550,414.10 and 442,602,443.90 is: 620,550,414.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,602,443.90 : 620,550,414.10 = 442,602,443.90 : x
  2. Step 2: Convert to fraction form
    442,602,443.90/620,550,414.10 = 442,602,443.90/x
  3. Step 3: Cross multiply
    442,602,443.90x = 620,550,414.10 × 442,602,443.90
  4. Step 4: Simplify right side
    442,602,443.90x = 274,657,129,843,817,024
  5. Step 5: Solve for x
    x = 274,657,129,843,817,024/442,602,443.90
  6. Step 6: Final answer
    x = 620,550,414.10

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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.