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Finding the Fourth Proportional to 277,931,004, 416,899,499.36 and 83,844,100.68

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Solution

The fourth proportional to 277,931,004, 416,899,499.36 and 83,844,100.68 is: 125,767,054.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,931,004 : 416,899,499.36 = 83,844,100.68 : x
  2. Step 2: Convert to fraction form
    277,931,004/416,899,499.36 = 83,844,100.68/x
  3. Step 3: Cross multiply
    277,931,004x = 416,899,499.36 × 83,844,100.68
  4. Step 4: Simplify right side
    277,931,004x = 34,954,563,597,362,220
  5. Step 5: Solve for x
    x = 34,954,563,597,362,220/277,931,004
  6. Step 6: Final answer
    x = 125,767,054.03

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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.