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Finding the Fourth Proportional to 570,261,106.09, 787,315,754.15 and 391,952,021.77

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Solution

The fourth proportional to 570,261,106.09, 787,315,754.15 and 391,952,021.77 is: 541,138,082.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,261,106.09 : 787,315,754.15 = 391,952,021.77 : x
  2. Step 2: Convert to fraction form
    570,261,106.09/787,315,754.15 = 391,952,021.77/x
  3. Step 3: Cross multiply
    570,261,106.09x = 787,315,754.15 × 391,952,021.77
  4. Step 4: Simplify right side
    570,261,106.09x = 308,590,001,610,464,768
  5. Step 5: Solve for x
    x = 308,590,001,610,464,768/570,261,106.09
  6. Step 6: Final answer
    x = 541,138,082.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.