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Finding the Fourth Proportional to 469,732,878,007.05, 704,599,317,010.56 and 469,732,878,007.05

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Solution

The fourth proportional to 469,732,878,007.05, 704,599,317,010.56 and 469,732,878,007.05 is: 704,599,317,010.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,732,878,007.05 : 704,599,317,010.56 = 469,732,878,007.05 : x
  2. Step 2: Convert to fraction form
    469,732,878,007.05/704,599,317,010.56 = 469,732,878,007.05/x
  3. Step 3: Cross multiply
    469,732,878,007.05x = 704,599,317,010.56 × 469,732,878,007.05
  4. Step 4: Simplify right side
    469,732,878,007.05x = 330,973,465,021,172,143,882,240
  5. Step 5: Solve for x
    x = 330,973,465,021,172,143,882,240/469,732,878,007.05
  6. Step 6: Final answer
    x = 704,599,317,010.56

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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.