Home / 1,762,981,148,045-2,643,242,219,151.40-781,147,649,612.16

Finding the Fourth Proportional to 1,762,981,148,045, 2,643,242,219,151.40 and 781,147,649,612.16

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Solution

The fourth proportional to 1,762,981,148,045, 2,643,242,219,151.40 and 781,147,649,612.16 is: 1,171,176,702,107.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762,981,148,045 : 2,643,242,219,151.40 = 781,147,649,612.16 : x
  2. Step 2: Convert to fraction form
    1,762,981,148,045/2,643,242,219,151.40 = 781,147,649,612.16/x
  3. Step 3: Cross multiply
    1,762,981,148,045x = 2,643,242,219,151.40 × 781,147,649,612.16
  4. Step 4: Simplify right side
    1,762,981,148,045x = 2,064,762,446,845,745,976,836,096
  5. Step 5: Solve for x
    x = 2,064,762,446,845,745,976,836,096/1,762,981,148,045
  6. Step 6: Final answer
    x = 1,171,176,702,107.90

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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.