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Finding the Fourth Proportional to 441,806,910,200.10, 662,710,365,300.15 and 441,806,910,200.10

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Solution

The fourth proportional to 441,806,910,200.10, 662,710,365,300.15 and 441,806,910,200.10 is: 662,710,365,300.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,806,910,200.10 : 662,710,365,300.15 = 441,806,910,200.10 : x
  2. Step 2: Convert to fraction form
    441,806,910,200.10/662,710,365,300.15 = 441,806,910,200.10/x
  3. Step 3: Cross multiply
    441,806,910,200.10x = 662,710,365,300.15 × 441,806,910,200.10
  4. Step 4: Simplify right side
    441,806,910,200.10x = 292,790,018,850,838,842,179,584
  5. Step 5: Solve for x
    x = 292,790,018,850,838,842,179,584/441,806,910,200.10
  6. Step 6: Final answer
    x = 662,710,365,300.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.