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Finding the Fourth Proportional to 934,457,977.70, 1,401,686,966.55 and 934,457,977.70

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Solution

The fourth proportional to 934,457,977.70, 1,401,686,966.55 and 934,457,977.70 is: 1,401,686,966.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    934,457,977.70 : 1,401,686,966.55 = 934,457,977.70 : x
  2. Step 2: Convert to fraction form
    934,457,977.70/1,401,686,966.55 = 934,457,977.70/x
  3. Step 3: Cross multiply
    934,457,977.70x = 1,401,686,966.55 × 934,457,977.70
  4. Step 4: Simplify right side
    934,457,977.70x = 1,309,817,568,130,760,448
  5. Step 5: Solve for x
    x = 1,309,817,568,130,760,448/934,457,977.70
  6. Step 6: Final answer
    x = 1,401,686,966.55

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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.