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Finding the Fourth Proportional to 153,784,477.80, 230,676,716.70 and 46,079,101.80

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Solution

The fourth proportional to 153,784,477.80, 230,676,716.70 and 46,079,101.80 is: 69,118,652.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,784,477.80 : 230,676,716.70 = 46,079,101.80 : x
  2. Step 2: Convert to fraction form
    153,784,477.80/230,676,716.70 = 46,079,101.80/x
  3. Step 3: Cross multiply
    153,784,477.80x = 230,676,716.70 × 46,079,101.80
  4. Step 4: Simplify right side
    153,784,477.80x = 10,629,375,911,709,058
  5. Step 5: Solve for x
    x = 10,629,375,911,709,058/153,784,477.80
  6. Step 6: Final answer
    x = 69,118,652.70

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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.