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Finding the Fourth Proportional to 183,878,586,028.40, 275,817,879,042.64 and 183,878,586,028.40

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Solution

The fourth proportional to 183,878,586,028.40, 275,817,879,042.64 and 183,878,586,028.40 is: 275,817,879,042.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,878,586,028.40 : 275,817,879,042.64 = 183,878,586,028.40 : x
  2. Step 2: Convert to fraction form
    183,878,586,028.40/275,817,879,042.64 = 183,878,586,028.40/x
  3. Step 3: Cross multiply
    183,878,586,028.40x = 275,817,879,042.64 × 183,878,586,028.40
  4. Step 4: Simplify right side
    183,878,586,028.40x = 50,717,001,599,712,908,804,096
  5. Step 5: Solve for x
    x = 50,717,001,599,712,908,804,096/183,878,586,028.40
  6. Step 6: Final answer
    x = 275,817,879,042.64

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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.