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Finding the Fourth Proportional to 1,882,115,931.70, 2,816,803,798.35 and 1,882,115,931.70

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Solution

The fourth proportional to 1,882,115,931.70, 2,816,803,798.35 and 1,882,115,931.70 is: 2,816,803,798.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882,115,931.70 : 2,816,803,798.35 = 1,882,115,931.70 : x
  2. Step 2: Convert to fraction form
    1,882,115,931.70/2,816,803,798.35 = 1,882,115,931.70/x
  3. Step 3: Cross multiply
    1,882,115,931.70x = 2,816,803,798.35 × 1,882,115,931.70
  4. Step 4: Simplify right side
    1,882,115,931.70x = 5,301,551,305,347,609,600
  5. Step 5: Solve for x
    x = 5,301,551,305,347,609,600/1,882,115,931.70
  6. Step 6: Final answer
    x = 2,816,803,798.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.