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Finding the Fourth Proportional to 240,604,994,927.70, 360,907,492,391.55 and 240,604,994,927.70

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Solution

The fourth proportional to 240,604,994,927.70, 360,907,492,391.55 and 240,604,994,927.70 is: 360,907,492,391.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,604,994,927.70 : 360,907,492,391.55 = 240,604,994,927.70 : x
  2. Step 2: Convert to fraction form
    240,604,994,927.70/360,907,492,391.55 = 240,604,994,927.70/x
  3. Step 3: Cross multiply
    240,604,994,927.70x = 360,907,492,391.55 × 240,604,994,927.70
  4. Step 4: Simplify right side
    240,604,994,927.70x = 86,836,145,376,237,814,022,144
  5. Step 5: Solve for x
    x = 86,836,145,376,237,814,022,144/240,604,994,927.70
  6. Step 6: Final answer
    x = 360,907,492,391.55

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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.