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Finding the Fourth Proportional to 424,323,418,914.40, 636,485,128,371.55 and 424,323,418,914.40

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Solution

The fourth proportional to 424,323,418,914.40, 636,485,128,371.55 and 424,323,418,914.40 is: 636,485,128,371.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,323,418,914.40 : 636,485,128,371.55 = 424,323,418,914.40 : x
  2. Step 2: Convert to fraction form
    424,323,418,914.40/636,485,128,371.55 = 424,323,418,914.40/x
  3. Step 3: Cross multiply
    424,323,418,914.40x = 636,485,128,371.55 × 424,323,418,914.40
  4. Step 4: Simplify right side
    424,323,418,914.40x = 270,075,545,758,786,912,256,000
  5. Step 5: Solve for x
    x = 270,075,545,758,786,912,256,000/424,323,418,914.40
  6. Step 6: Final answer
    x = 636,485,128,371.55

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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.