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Finding the Fourth Proportional to 652,407,503.85, 978,611,255.78 and 362,169,859.05

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Solution

The fourth proportional to 652,407,503.85, 978,611,255.78 and 362,169,859.05 is: 543,254,788.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,407,503.85 : 978,611,255.78 = 362,169,859.05 : x
  2. Step 2: Convert to fraction form
    652,407,503.85/978,611,255.78 = 362,169,859.05/x
  3. Step 3: Cross multiply
    652,407,503.85x = 978,611,255.78 × 362,169,859.05
  4. Step 4: Simplify right side
    652,407,503.85x = 354,423,500,568,775,232
  5. Step 5: Solve for x
    x = 354,423,500,568,775,232/652,407,503.85
  6. Step 6: Final answer
    x = 543,254,788.58

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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.