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Finding the Fourth Proportional to 652,165,831.40, 978,248,747.10 and 445,541,570.60

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Solution

The fourth proportional to 652,165,831.40, 978,248,747.10 and 445,541,570.60 is: 668,312,355.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,165,831.40 : 978,248,747.10 = 445,541,570.60 : x
  2. Step 2: Convert to fraction form
    652,165,831.40/978,248,747.10 = 445,541,570.60/x
  3. Step 3: Cross multiply
    652,165,831.40x = 978,248,747.10 × 445,541,570.60
  4. Step 4: Simplify right side
    652,165,831.40x = 435,850,483,220,416,256
  5. Step 5: Solve for x
    x = 435,850,483,220,416,256/652,165,831.40
  6. Step 6: Final answer
    x = 668,312,355.90

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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.