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Finding the Fourth Proportional to 1,567,078,532.75, 2,348,034,978.86 and 910,185,570.29

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Solution

The fourth proportional to 1,567,078,532.75, 2,348,034,978.86 and 910,185,570.29 is: 1,363,778,209.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567,078,532.75 : 2,348,034,978.86 = 910,185,570.29 : x
  2. Step 2: Convert to fraction form
    1,567,078,532.75/2,348,034,978.86 = 910,185,570.29/x
  3. Step 3: Cross multiply
    1,567,078,532.75x = 2,348,034,978.86 × 910,185,570.29
  4. Step 4: Simplify right side
    1,567,078,532.75x = 2,137,147,556,299,335,168
  5. Step 5: Solve for x
    x = 2,137,147,556,299,335,168/1,567,078,532.75
  6. Step 6: Final answer
    x = 1,363,778,209.98

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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.