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Finding the Fourth Proportional to 81,413,142.30, 114,280,730.10 and 81,413,142.30

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Solution

The fourth proportional to 81,413,142.30, 114,280,730.10 and 81,413,142.30 is: 114,280,730.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,413,142.30 : 114,280,730.10 = 81,413,142.30 : x
  2. Step 2: Convert to fraction form
    81,413,142.30/114,280,730.10 = 81,413,142.30/x
  3. Step 3: Cross multiply
    81,413,142.30x = 114,280,730.10 × 81,413,142.30
  4. Step 4: Simplify right side
    81,413,142.30x = 9,303,953,341,779,192
  5. Step 5: Solve for x
    x = 9,303,953,341,779,192/81,413,142.30
  6. Step 6: Final answer
    x = 114,280,730.10

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