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Finding the Fourth Proportional to 312,985,952,783.40, 469,478,929,175.10 and 312,985,952,783.40

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Solution

The fourth proportional to 312,985,952,783.40, 469,478,929,175.10 and 312,985,952,783.40 is: 469,478,929,175.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,985,952,783.40 : 469,478,929,175.10 = 312,985,952,783.40 : x
  2. Step 2: Convert to fraction form
    312,985,952,783.40/469,478,929,175.10 = 312,985,952,783.40/x
  3. Step 3: Cross multiply
    312,985,952,783.40x = 469,478,929,175.10 × 312,985,952,783.40
  4. Step 4: Simplify right side
    312,985,952,783.40x = 146,940,309,959,599,041,019,904
  5. Step 5: Solve for x
    x = 146,940,309,959,599,041,019,904/312,985,952,783.40
  6. Step 6: Final answer
    x = 469,478,929,175.10

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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.