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Finding the Fourth Proportional to 6,704,046,152.05, 10,056,069,228.08 and 6,704,046,152.05

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Solution

The fourth proportional to 6,704,046,152.05, 10,056,069,228.08 and 6,704,046,152.05 is: 10,056,069,228.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,704,046,152.05 : 10,056,069,228.08 = 6,704,046,152.05 : x
  2. Step 2: Convert to fraction form
    6,704,046,152.05/10,056,069,228.08 = 6,704,046,152.05/x
  3. Step 3: Cross multiply
    6,704,046,152.05x = 10,056,069,228.08 × 6,704,046,152.05
  4. Step 4: Simplify right side
    6,704,046,152.05x = 67,416,352,213,224,628,224
  5. Step 5: Solve for x
    x = 67,416,352,213,224,628,224/6,704,046,152.05
  6. Step 6: Final answer
    x = 10,056,069,228.08

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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.