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Finding the Fourth Proportional to 652,098,971.80, 978,148,457.70 and 434,420,738.20

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Solution

The fourth proportional to 652,098,971.80, 978,148,457.70 and 434,420,738.20 is: 651,631,107.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,098,971.80 : 978,148,457.70 = 434,420,738.20 : x
  2. Step 2: Convert to fraction form
    652,098,971.80/978,148,457.70 = 434,420,738.20/x
  3. Step 3: Cross multiply
    652,098,971.80x = 978,148,457.70 × 434,420,738.20
  4. Step 4: Simplify right side
    652,098,971.80x = 424,927,975,063,225,472
  5. Step 5: Solve for x
    x = 424,927,975,063,225,472/652,098,971.80
  6. Step 6: Final answer
    x = 651,631,107.30

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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.