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Finding the Fourth Proportional to 240,594,446,831.70, 360,891,670,247.55 and 240,594,446,831.70

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Solution

The fourth proportional to 240,594,446,831.70, 360,891,670,247.55 and 240,594,446,831.70 is: 360,891,670,247.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,594,446,831.70 : 360,891,670,247.55 = 240,594,446,831.70 : x
  2. Step 2: Convert to fraction form
    240,594,446,831.70/360,891,670,247.55 = 240,594,446,831.70/x
  3. Step 3: Cross multiply
    240,594,446,831.70x = 360,891,670,247.55 × 240,594,446,831.70
  4. Step 4: Simplify right side
    240,594,446,831.70x = 86,828,531,769,377,575,403,520
  5. Step 5: Solve for x
    x = 86,828,531,769,377,575,403,520/240,594,446,831.70
  6. Step 6: Final answer
    x = 360,891,670,247.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.