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Finding the Fourth Proportional to 561,330,647.70, 841,995,971.55 and 233,697,271.20

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Solution

The fourth proportional to 561,330,647.70, 841,995,971.55 and 233,697,271.20 is: 350,545,906.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,330,647.70 : 841,995,971.55 = 233,697,271.20 : x
  2. Step 2: Convert to fraction form
    561,330,647.70/841,995,971.55 = 233,697,271.20/x
  3. Step 3: Cross multiply
    561,330,647.70x = 841,995,971.55 × 233,697,271.20
  4. Step 4: Simplify right side
    561,330,647.70x = 196,772,160,912,627,808
  5. Step 5: Solve for x
    x = 196,772,160,912,627,808/561,330,647.70
  6. Step 6: Final answer
    x = 350,545,906.80

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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.