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Finding the Fourth Proportional to 453,670,709.10, 680,506,063.65 and 453,670,709.10

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Solution

The fourth proportional to 453,670,709.10, 680,506,063.65 and 453,670,709.10 is: 680,506,063.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,670,709.10 : 680,506,063.65 = 453,670,709.10 : x
  2. Step 2: Convert to fraction form
    453,670,709.10/680,506,063.65 = 453,670,709.10/x
  3. Step 3: Cross multiply
    453,670,709.10x = 680,506,063.65 × 453,670,709.10
  4. Step 4: Simplify right side
    453,670,709.10x = 308,725,668,442,945,216
  5. Step 5: Solve for x
    x = 308,725,668,442,945,216/453,670,709.10
  6. Step 6: Final answer
    x = 680,506,063.65

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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.