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Finding the Fourth Proportional to 1,160,697,978.80, 1,738,779,486.60 and 699,265,473.20

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Solution

The fourth proportional to 1,160,697,978.80, 1,738,779,486.60 and 699,265,473.20 is: 1,047,532,159.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160,697,978.80 : 1,738,779,486.60 = 699,265,473.20 : x
  2. Step 2: Convert to fraction form
    1,160,697,978.80/1,738,779,486.60 = 699,265,473.20/x
  3. Step 3: Cross multiply
    1,160,697,978.80x = 1,738,779,486.60 × 699,265,473.20
  4. Step 4: Simplify right side
    1,160,697,978.80x = 1,215,868,460,487,802,112
  5. Step 5: Solve for x
    x = 1,215,868,460,487,802,112/1,160,697,978.80
  6. Step 6: Final answer
    x = 1,047,532,159.70

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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.