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Finding the Fourth Proportional to 188,210,307,840.40, 282,315,461,760.60 and 188,210,307,840.40

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Solution

The fourth proportional to 188,210,307,840.40, 282,315,461,760.60 and 188,210,307,840.40 is: 282,315,461,760.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,210,307,840.40 : 282,315,461,760.60 = 188,210,307,840.40 : x
  2. Step 2: Convert to fraction form
    188,210,307,840.40/282,315,461,760.60 = 188,210,307,840.40/x
  3. Step 3: Cross multiply
    188,210,307,840.40x = 282,315,461,760.60 × 188,210,307,840.40
  4. Step 4: Simplify right side
    188,210,307,840.40x = 53,134,679,966,067,195,904,000
  5. Step 5: Solve for x
    x = 53,134,679,966,067,195,904,000/188,210,307,840.40
  6. Step 6: Final answer
    x = 282,315,461,760.60

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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.