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Finding the Fourth Proportional to 652,457,329.40, 978,685,994.10 and 221,635,825.40

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Solution

The fourth proportional to 652,457,329.40, 978,685,994.10 and 221,635,825.40 is: 332,453,738.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,457,329.40 : 978,685,994.10 = 221,635,825.40 : x
  2. Step 2: Convert to fraction form
    652,457,329.40/978,685,994.10 = 221,635,825.40/x
  3. Step 3: Cross multiply
    652,457,329.40x = 978,685,994.10 × 221,635,825.40
  4. Step 4: Simplify right side
    652,457,329.40x = 216,911,878,109,773,056
  5. Step 5: Solve for x
    x = 216,911,878,109,773,056/652,457,329.40
  6. Step 6: Final answer
    x = 332,453,738.10

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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.