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Finding the Fourth Proportional to 490,999,831.56, 736,637,922 and 214,675,312.14

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Solution

The fourth proportional to 490,999,831.56, 736,637,922 and 214,675,312.14 is: 322,073,381.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,999,831.56 : 736,637,922 = 214,675,312.14 : x
  2. Step 2: Convert to fraction form
    490,999,831.56/736,637,922 = 214,675,312.14/x
  3. Step 3: Cross multiply
    490,999,831.56x = 736,637,922 × 214,675,312.14
  4. Step 4: Simplify right side
    490,999,831.56x = 158,137,975,839,510,976
  5. Step 5: Solve for x
    x = 158,137,975,839,510,976/490,999,831.56
  6. Step 6: Final answer
    x = 322,073,381.04

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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.