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Finding the Fourth Proportional to 10,159,657,384.80, 15,239,486,077.20 and 10,159,657,384.80

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Solution

The fourth proportional to 10,159,657,384.80, 15,239,486,077.20 and 10,159,657,384.80 is: 15,239,486,077.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,159,657,384.80 : 15,239,486,077.20 = 10,159,657,384.80 : x
  2. Step 2: Convert to fraction form
    10,159,657,384.80/15,239,486,077.20 = 10,159,657,384.80/x
  3. Step 3: Cross multiply
    10,159,657,384.80x = 15,239,486,077.20 × 10,159,657,384.80
  4. Step 4: Simplify right side
    10,159,657,384.80x = 154,827,957,264,781,770,752
  5. Step 5: Solve for x
    x = 154,827,957,264,781,770,752/10,159,657,384.80
  6. Step 6: Final answer
    x = 15,239,486,077.20

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1.5x scale

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.