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Finding the Fourth Proportional to 459,870,428.70, 689,805,643.05 and 459,870,428.70

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Solution

The fourth proportional to 459,870,428.70, 689,805,643.05 and 459,870,428.70 is: 689,805,643.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,870,428.70 : 689,805,643.05 = 459,870,428.70 : x
  2. Step 2: Convert to fraction form
    459,870,428.70/689,805,643.05 = 459,870,428.70/x
  3. Step 3: Cross multiply
    459,870,428.70x = 689,805,643.05 × 459,870,428.70
  4. Step 4: Simplify right side
    459,870,428.70x = 317,221,216,789,082,624
  5. Step 5: Solve for x
    x = 317,221,216,789,082,624/459,870,428.70
  6. Step 6: Final answer
    x = 689,805,643.05

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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.