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Finding the Fourth Proportional to 1,010,405,488.15, 1,515,608,232.23 and 1,010,405,488.15

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Solution

The fourth proportional to 1,010,405,488.15, 1,515,608,232.23 and 1,010,405,488.15 is: 1,515,608,232.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010,405,488.15 : 1,515,608,232.23 = 1,010,405,488.15 : x
  2. Step 2: Convert to fraction form
    1,010,405,488.15/1,515,608,232.23 = 1,010,405,488.15/x
  3. Step 3: Cross multiply
    1,010,405,488.15x = 1,515,608,232.23 × 1,010,405,488.15
  4. Step 4: Simplify right side
    1,010,405,488.15x = 1,531,378,875,730,511,616
  5. Step 5: Solve for x
    x = 1,531,378,875,730,511,616/1,010,405,488.15
  6. Step 6: Final answer
    x = 1,515,608,232.23

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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.