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Finding the Fourth Proportional to 240,594,446,823.45, 360,891,670,235.17 and 240,594,446,823.45

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Solution

The fourth proportional to 240,594,446,823.45, 360,891,670,235.17 and 240,594,446,823.45 is: 360,891,670,235.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,594,446,823.45 : 360,891,670,235.17 = 240,594,446,823.45 : x
  2. Step 2: Convert to fraction form
    240,594,446,823.45/360,891,670,235.17 = 240,594,446,823.45/x
  3. Step 3: Cross multiply
    240,594,446,823.45x = 360,891,670,235.17 × 240,594,446,823.45
  4. Step 4: Simplify right side
    240,594,446,823.45x = 86,828,531,763,421,663,723,520
  5. Step 5: Solve for x
    x = 86,828,531,763,421,663,723,520/240,594,446,823.45
  6. Step 6: Final answer
    x = 360,891,670,235.17

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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.