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Finding the Fourth Proportional to 560,101,322.70, 840,151,984.05 and 560,101,322.70

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Solution

The fourth proportional to 560,101,322.70, 840,151,984.05 and 560,101,322.70 is: 840,151,984.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,101,322.70 : 840,151,984.05 = 560,101,322.70 : x
  2. Step 2: Convert to fraction form
    560,101,322.70/840,151,984.05 = 560,101,322.70/x
  3. Step 3: Cross multiply
    560,101,322.70x = 840,151,984.05 × 560,101,322.70
  4. Step 4: Simplify right side
    560,101,322.70x = 470,570,237,535,434,304
  5. Step 5: Solve for x
    x = 470,570,237,535,434,304/560,101,322.70
  6. Step 6: Final answer
    x = 840,151,984.05

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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.