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Finding the Fourth Proportional to 368,506,098,005.20, 552,759,147,007.80 and 368,506,098,005.20

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Solution

The fourth proportional to 368,506,098,005.20, 552,759,147,007.80 and 368,506,098,005.20 is: 552,759,147,007.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,506,098,005.20 : 552,759,147,007.80 = 368,506,098,005.20 : x
  2. Step 2: Convert to fraction form
    368,506,098,005.20/552,759,147,007.80 = 368,506,098,005.20/x
  3. Step 3: Cross multiply
    368,506,098,005.20x = 552,759,147,007.80 × 368,506,098,005.20
  4. Step 4: Simplify right side
    368,506,098,005.20x = 203,695,116,400,527,119,745,024
  5. Step 5: Solve for x
    x = 203,695,116,400,527,119,745,024/368,506,098,005.20
  6. Step 6: Final answer
    x = 552,759,147,007.80

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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.