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Finding the Fourth Proportional to 586,047,199.38, 877,921,532.07 and 339,886,828.26

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Solution

The fourth proportional to 586,047,199.38, 877,921,532.07 and 339,886,828.26 is: 509,163,707.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,047,199.38 : 877,921,532.07 = 339,886,828.26 : x
  2. Step 2: Convert to fraction form
    586,047,199.38/877,921,532.07 = 339,886,828.26/x
  3. Step 3: Cross multiply
    586,047,199.38x = 877,921,532.07 × 339,886,828.26
  4. Step 4: Simplify right side
    586,047,199.38x = 298,393,964,996,432,192
  5. Step 5: Solve for x
    x = 298,393,964,996,432,192/586,047,199.38
  6. Step 6: Final answer
    x = 509,163,707.82

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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.