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Finding the Fourth Proportional to 209,952,762.40, 314,929,143.60 and 73,620,431.20

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Solution

The fourth proportional to 209,952,762.40, 314,929,143.60 and 73,620,431.20 is: 110,430,646.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952,762.40 : 314,929,143.60 = 73,620,431.20 : x
  2. Step 2: Convert to fraction form
    209,952,762.40/314,929,143.60 = 73,620,431.20/x
  3. Step 3: Cross multiply
    209,952,762.40x = 314,929,143.60 × 73,620,431.20
  4. Step 4: Simplify right side
    209,952,762.40x = 23,185,219,349,278,724
  5. Step 5: Solve for x
    x = 23,185,219,349,278,724/209,952,762.40
  6. Step 6: Final answer
    x = 110,430,646.80

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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.