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Finding the Fourth Proportional to 206,460,438,328.39, 309,690,657,492.57 and 206,460,438,328.39

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Solution

The fourth proportional to 206,460,438,328.39, 309,690,657,492.57 and 206,460,438,328.39 is: 309,690,657,492.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,460,438,328.39 : 309,690,657,492.57 = 206,460,438,328.39 : x
  2. Step 2: Convert to fraction form
    206,460,438,328.39/309,690,657,492.57 = 206,460,438,328.39/x
  3. Step 3: Cross multiply
    206,460,438,328.39x = 309,690,657,492.57 × 206,460,438,328.39
  4. Step 4: Simplify right side
    206,460,438,328.39x = 63,938,868,892,123,304,820,736
  5. Step 5: Solve for x
    x = 63,938,868,892,123,304,820,736/206,460,438,328.39
  6. Step 6: Final answer
    x = 309,690,657,492.57

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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.