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Finding the Fourth Proportional to 605,202,308.90, 907,803,463.35 and 360,314,296.10

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Solution

The fourth proportional to 605,202,308.90, 907,803,463.35 and 360,314,296.10 is: 540,471,444.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,202,308.90 : 907,803,463.35 = 360,314,296.10 : x
  2. Step 2: Convert to fraction form
    605,202,308.90/907,803,463.35 = 360,314,296.10/x
  3. Step 3: Cross multiply
    605,202,308.90x = 907,803,463.35 × 360,314,296.10
  4. Step 4: Simplify right side
    605,202,308.90x = 327,094,565,894,097,408
  5. Step 5: Solve for x
    x = 327,094,565,894,097,408/605,202,308.90
  6. Step 6: Final answer
    x = 540,471,444.15

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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.