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Finding the Fourth Proportional to 463,640,340.40, 695,544,491.40 and 233,029,063.60

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Solution

The fourth proportional to 463,640,340.40, 695,544,491.40 and 233,029,063.60 is: 349,585,804.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,640,340.40 : 695,544,491.40 = 233,029,063.60 : x
  2. Step 2: Convert to fraction form
    463,640,340.40/695,544,491.40 = 233,029,063.60/x
  3. Step 3: Cross multiply
    463,640,340.40x = 695,544,491.40 × 233,029,063.60
  4. Step 4: Simplify right side
    463,640,340.40x = 162,082,081,523,080,256
  5. Step 5: Solve for x
    x = 162,082,081,523,080,256/463,640,340.40
  6. Step 6: Final answer
    x = 349,585,804.77

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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.