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Finding the Fourth Proportional to 532,703,172,364.65, 799,054,758,546.98 and 532,703,172,364.65

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Solution

The fourth proportional to 532,703,172,364.65, 799,054,758,546.98 and 532,703,172,364.65 is: 799,054,758,546.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,703,172,364.65 : 799,054,758,546.98 = 532,703,172,364.65 : x
  2. Step 2: Convert to fraction form
    532,703,172,364.65/799,054,758,546.98 = 532,703,172,364.65/x
  3. Step 3: Cross multiply
    532,703,172,364.65x = 799,054,758,546.98 × 532,703,172,364.65
  4. Step 4: Simplify right side
    532,703,172,364.65x = 425,659,004,771,045,663,047,680
  5. Step 5: Solve for x
    x = 425,659,004,771,045,663,047,680/532,703,172,364.65
  6. Step 6: Final answer
    x = 799,054,758,546.98

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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.