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Finding the Fourth Proportional to 943,265,417.40, 1,414,898,126.10 and 943,265,417.40

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Solution

The fourth proportional to 943,265,417.40, 1,414,898,126.10 and 943,265,417.40 is: 1,414,898,126.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    943,265,417.40 : 1,414,898,126.10 = 943,265,417.40 : x
  2. Step 2: Convert to fraction form
    943,265,417.40/1,414,898,126.10 = 943,265,417.40/x
  3. Step 3: Cross multiply
    943,265,417.40x = 1,414,898,126.10 × 943,265,417.40
  4. Step 4: Simplify right side
    943,265,417.40x = 1,334,624,471,494,194,176
  5. Step 5: Solve for x
    x = 1,334,624,471,494,194,176/943,265,417.40
  6. Step 6: Final answer
    x = 1,414,898,126.10

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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.