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Finding the Fourth Proportional to 798,806,672.80, 1,198,210,009.20 and 768,195,671.20

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Solution

The fourth proportional to 798,806,672.80, 1,198,210,009.20 and 768,195,671.20 is: 1,152,293,506.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    798,806,672.80 : 1,198,210,009.20 = 768,195,671.20 : x
  2. Step 2: Convert to fraction form
    798,806,672.80/1,198,210,009.20 = 768,195,671.20/x
  3. Step 3: Cross multiply
    798,806,672.80x = 1,198,210,009.20 × 768,195,671.20
  4. Step 4: Simplify right side
    798,806,672.80x = 920,459,742,255,952,256
  5. Step 5: Solve for x
    x = 920,459,742,255,952,256/798,806,672.80
  6. Step 6: Final answer
    x = 1,152,293,506.80

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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.