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Finding the Fourth Proportional to 20,868,495,783.78, 31,302,743,675.66 and 20,868,495,783.78

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Solution

The fourth proportional to 20,868,495,783.78, 31,302,743,675.66 and 20,868,495,783.78 is: 31,302,743,675.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,868,495,783.78 : 31,302,743,675.66 = 20,868,495,783.78 : x
  2. Step 2: Convert to fraction form
    20,868,495,783.78/31,302,743,675.66 = 20,868,495,783.78/x
  3. Step 3: Cross multiply
    20,868,495,783.78x = 31,302,743,675.66 × 20,868,495,783.78
  4. Step 4: Simplify right side
    20,868,495,783.78x = 653,241,174,416,141,975,552
  5. Step 5: Solve for x
    x = 653,241,174,416,141,975,552/20,868,495,783.78
  6. Step 6: Final answer
    x = 31,302,743,675.66

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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.