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Finding the Fourth Proportional to 290,448,643.70, 407,648,467.90 and 290,448,643.70

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Solution

The fourth proportional to 290,448,643.70, 407,648,467.90 and 290,448,643.70 is: 407,648,467.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,448,643.70 : 407,648,467.90 = 290,448,643.70 : x
  2. Step 2: Convert to fraction form
    290,448,643.70/407,648,467.90 = 290,448,643.70/x
  3. Step 3: Cross multiply
    290,448,643.70x = 407,648,467.90 × 290,448,643.70
  4. Step 4: Simplify right side
    290,448,643.70x = 118,400,944,607,937,968
  5. Step 5: Solve for x
    x = 118,400,944,607,937,968/290,448,643.70
  6. Step 6: Final answer
    x = 407,648,467.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.