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Finding the Fourth Proportional to 953,857,139.20, 1,430,785,708.80 and 953,857,139.20

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Solution

The fourth proportional to 953,857,139.20, 1,430,785,708.80 and 953,857,139.20 is: 1,430,785,708.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    953,857,139.20 : 1,430,785,708.80 = 953,857,139.20 : x
  2. Step 2: Convert to fraction form
    953,857,139.20/1,430,785,708.80 = 953,857,139.20/x
  3. Step 3: Cross multiply
    953,857,139.20x = 1,430,785,708.80 × 953,857,139.20
  4. Step 4: Simplify right side
    953,857,139.20x = 1,364,765,163,004,212,224
  5. Step 5: Solve for x
    x = 1,364,765,163,004,212,224/953,857,139.20
  6. Step 6: Final answer
    x = 1,430,785,708.80

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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.