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Finding the Fourth Proportional to 100,803,563,147.70, 151,205,344,721.55 and 100,803,563,147.70

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Solution

The fourth proportional to 100,803,563,147.70, 151,205,344,721.55 and 100,803,563,147.70 is: 151,205,344,721.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,803,563,147.70 : 151,205,344,721.55 = 100,803,563,147.70 : x
  2. Step 2: Convert to fraction form
    100,803,563,147.70/151,205,344,721.55 = 100,803,563,147.70/x
  3. Step 3: Cross multiply
    100,803,563,147.70x = 151,205,344,721.55 × 100,803,563,147.70
  4. Step 4: Simplify right side
    100,803,563,147.70x = 15,242,037,514,908,511,240,192
  5. Step 5: Solve for x
    x = 15,242,037,514,908,511,240,192/100,803,563,147.70
  6. Step 6: Final answer
    x = 151,205,344,721.55

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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.