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Finding the Fourth Proportional to 442,602,440.40, 620,550,409.20 and 442,602,440.40

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Solution

The fourth proportional to 442,602,440.40, 620,550,409.20 and 442,602,440.40 is: 620,550,409.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,602,440.40 : 620,550,409.20 = 442,602,440.40 : x
  2. Step 2: Convert to fraction form
    442,602,440.40/620,550,409.20 = 442,602,440.40/x
  3. Step 3: Cross multiply
    442,602,440.40x = 620,550,409.20 × 442,602,440.40
  4. Step 4: Simplify right side
    442,602,440.40x = 274,657,125,503,138,624
  5. Step 5: Solve for x
    x = 274,657,125,503,138,624/442,602,440.40
  6. Step 6: Final answer
    x = 620,550,409.20

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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.