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Finding the Fourth Proportional to 10,378,347,264,376, 15,567,520,896,564 and 10,378,347,264,376

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Solution

The fourth proportional to 10,378,347,264,376, 15,567,520,896,564 and 10,378,347,264,376 is: 15,567,520,896,564

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,378,347,264,376 : 15,567,520,896,564 = 10,378,347,264,376 : x
  2. Step 2: Convert to fraction form
    10,378,347,264,376/15,567,520,896,564 = 10,378,347,264,376/x
  3. Step 3: Cross multiply
    10,378,347,264,376x = 15,567,520,896,564 × 10,378,347,264,376
  4. Step 4: Simplify right side
    10,378,347,264,376x = 161,565,137,909,971,202,676,359,168
  5. Step 5: Solve for x
    x = 161,565,137,909,971,202,676,359,168/10,378,347,264,376
  6. Step 6: Final answer
    x = 15,567,520,896,564

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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.