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Finding the Fourth Proportional to 64,705,048,400.40, 96,912,453,778.20 and 64,705,048,400.40

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Solution

The fourth proportional to 64,705,048,400.40, 96,912,453,778.20 and 64,705,048,400.40 is: 96,912,453,778.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,705,048,400.40 : 96,912,453,778.20 = 64,705,048,400.40 : x
  2. Step 2: Convert to fraction form
    64,705,048,400.40/96,912,453,778.20 = 64,705,048,400.40/x
  3. Step 3: Cross multiply
    64,705,048,400.40x = 96,912,453,778.20 × 64,705,048,400.40
  4. Step 4: Simplify right side
    64,705,048,400.40x = 6,270,725,012,319,958,466,560
  5. Step 5: Solve for x
    x = 6,270,725,012,319,958,466,560/64,705,048,400.40
  6. Step 6: Final answer
    x = 96,912,453,778.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.