Home / 1,100,155,804.40-1,649,666,836.20-409,707,657.20

Finding the Fourth Proportional to 1,100,155,804.40, 1,649,666,836.20 and 409,707,657.20

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Solution

The fourth proportional to 1,100,155,804.40, 1,649,666,836.20 and 409,707,657.20 is: 614,350,378.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100,155,804.40 : 1,649,666,836.20 = 409,707,657.20 : x
  2. Step 2: Convert to fraction form
    1,100,155,804.40/1,649,666,836.20 = 409,707,657.20/x
  3. Step 3: Cross multiply
    1,100,155,804.40x = 1,649,666,836.20 × 409,707,657.20
  4. Step 4: Simplify right side
    1,100,155,804.40x = 675,881,134,620,038,144
  5. Step 5: Solve for x
    x = 675,881,134,620,038,144/1,100,155,804.40
  6. Step 6: Final answer
    x = 614,350,378.30

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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.