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Finding the Fourth Proportional to 401,281,348.80, 601,922,023.20 and 340,059,345.60

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Solution

The fourth proportional to 401,281,348.80, 601,922,023.20 and 340,059,345.60 is: 510,089,018.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,281,348.80 : 601,922,023.20 = 340,059,345.60 : x
  2. Step 2: Convert to fraction form
    401,281,348.80/601,922,023.20 = 340,059,345.60/x
  3. Step 3: Cross multiply
    401,281,348.80x = 601,922,023.20 × 340,059,345.60
  4. Step 4: Simplify right side
    401,281,348.80x = 204,689,209,311,620,064
  5. Step 5: Solve for x
    x = 204,689,209,311,620,064/401,281,348.80
  6. Step 6: Final answer
    x = 510,089,018.40

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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.