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Finding the Fourth Proportional to 247,295,493,337.60, 370,943,240,006.40 and 247,295,493,337.60

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Solution

The fourth proportional to 247,295,493,337.60, 370,943,240,006.40 and 247,295,493,337.60 is: 370,943,240,006.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,295,493,337.60 : 370,943,240,006.40 = 247,295,493,337.60 : x
  2. Step 2: Convert to fraction form
    247,295,493,337.60/370,943,240,006.40 = 247,295,493,337.60/x
  3. Step 3: Cross multiply
    247,295,493,337.60x = 370,943,240,006.40 × 247,295,493,337.60
  4. Step 4: Simplify right side
    247,295,493,337.60x = 91,732,591,537,630,448,975,872
  5. Step 5: Solve for x
    x = 91,732,591,537,630,448,975,872/247,295,493,337.60
  6. Step 6: Final answer
    x = 370,943,240,006.40

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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.