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Finding the Fourth Proportional to 1,338,714,666.80, 2,008,072,000.20 and 930,567,978.80

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Solution

The fourth proportional to 1,338,714,666.80, 2,008,072,000.20 and 930,567,978.80 is: 1,395,851,968.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338,714,666.80 : 2,008,072,000.20 = 930,567,978.80 : x
  2. Step 2: Convert to fraction form
    1,338,714,666.80/2,008,072,000.20 = 930,567,978.80/x
  3. Step 3: Cross multiply
    1,338,714,666.80x = 2,008,072,000.20 × 930,567,978.80
  4. Step 4: Simplify right side
    1,338,714,666.80x = 1,868,647,502,510,987,264
  5. Step 5: Solve for x
    x = 1,868,647,502,510,987,264/1,338,714,666.80
  6. Step 6: Final answer
    x = 1,395,851,968.20

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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.