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Finding the Fourth Proportional to 215,966,007,002.70, 301,608,562,464.90 and 215,966,007,002.70

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Solution

The fourth proportional to 215,966,007,002.70, 301,608,562,464.90 and 215,966,007,002.70 is: 301,608,562,464.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,966,007,002.70 : 301,608,562,464.90 = 215,966,007,002.70 : x
  2. Step 2: Convert to fraction form
    215,966,007,002.70/301,608,562,464.90 = 215,966,007,002.70/x
  3. Step 3: Cross multiply
    215,966,007,002.70x = 301,608,562,464.90 × 215,966,007,002.70
  4. Step 4: Simplify right side
    215,966,007,002.70x = 65,137,196,913,368,884,051,968
  5. Step 5: Solve for x
    x = 65,137,196,913,368,884,051,968/215,966,007,002.70
  6. Step 6: Final answer
    x = 301,608,562,464.90

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.