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Finding the Fourth Proportional to 408,147,983,999.90, 612,221,975,999.80 and 408,147,983,999.90

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Solution

The fourth proportional to 408,147,983,999.90, 612,221,975,999.80 and 408,147,983,999.90 is: 612,221,975,999.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,147,983,999.90 : 612,221,975,999.80 = 408,147,983,999.90 : x
  2. Step 2: Convert to fraction form
    408,147,983,999.90/612,221,975,999.80 = 408,147,983,999.90/x
  3. Step 3: Cross multiply
    408,147,983,999.90x = 612,221,975,999.80 × 408,147,983,999.90
  4. Step 4: Simplify right side
    408,147,983,999.90x = 249,877,165,264,753,576,116,224
  5. Step 5: Solve for x
    x = 249,877,165,264,753,576,116,224/408,147,983,999.90
  6. Step 6: Final answer
    x = 612,221,975,999.80

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1.5x scale

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.