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Finding the Fourth Proportional to 240,594,446,813.70, 360,891,670,220.55 and 240,594,446,813.70

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Solution

The fourth proportional to 240,594,446,813.70, 360,891,670,220.55 and 240,594,446,813.70 is: 360,891,670,220.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,594,446,813.70 : 360,891,670,220.55 = 240,594,446,813.70 : x
  2. Step 2: Convert to fraction form
    240,594,446,813.70/360,891,670,220.55 = 240,594,446,813.70/x
  3. Step 3: Cross multiply
    240,594,446,813.70x = 360,891,670,220.55 × 240,594,446,813.70
  4. Step 4: Simplify right side
    240,594,446,813.70x = 86,828,531,756,385,483,882,496
  5. Step 5: Solve for x
    x = 86,828,531,756,385,483,882,496/240,594,446,813.70
  6. Step 6: Final answer
    x = 360,891,670,220.55

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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.