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Finding the Fourth Proportional to 565,519,253.70, 848,278,880.55 and 293,421,461.70

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Solution

The fourth proportional to 565,519,253.70, 848,278,880.55 and 293,421,461.70 is: 440,132,192.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,519,253.70 : 848,278,880.55 = 293,421,461.70 : x
  2. Step 2: Convert to fraction form
    565,519,253.70/848,278,880.55 = 293,421,461.70/x
  3. Step 3: Cross multiply
    565,519,253.70x = 848,278,880.55 × 293,421,461.70
  4. Step 4: Simplify right side
    565,519,253.70x = 248,903,229,060,220,672
  5. Step 5: Solve for x
    x = 248,903,229,060,220,672/565,519,253.70
  6. Step 6: Final answer
    x = 440,132,192.55

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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.