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Finding the Fourth Proportional to 580,801,343.40, 872,209,784.70 and 308,703,551.40

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Solution

The fourth proportional to 580,801,343.40, 872,209,784.70 and 308,703,551.40 is: 463,590,969.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,801,343.40 : 872,209,784.70 = 308,703,551.40 : x
  2. Step 2: Convert to fraction form
    580,801,343.40/872,209,784.70 = 308,703,551.40/x
  3. Step 3: Cross multiply
    580,801,343.40x = 872,209,784.70 × 308,703,551.40
  4. Step 4: Simplify right side
    580,801,343.40x = 269,254,258,102,719,392
  5. Step 5: Solve for x
    x = 269,254,258,102,719,392/580,801,343.40
  6. Step 6: Final answer
    x = 463,590,969.89

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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.