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Finding the Fourth Proportional to 1,411,289,077.05, 1,947,822,700.10 and 816,901,289.42

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Solution

The fourth proportional to 1,411,289,077.05, 1,947,822,700.10 and 816,901,289.42 is: 1,127,464,883.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411,289,077.05 : 1,947,822,700.10 = 816,901,289.42 : x
  2. Step 2: Convert to fraction form
    1,411,289,077.05/1,947,822,700.10 = 816,901,289.42/x
  3. Step 3: Cross multiply
    1,411,289,077.05x = 1,947,822,700.10 × 816,901,289.42
  4. Step 4: Simplify right side
    1,411,289,077.05x = 1,591,178,875,259,412,224
  5. Step 5: Solve for x
    x = 1,591,178,875,259,412,224/1,411,289,077.05
  6. Step 6: Final answer
    x = 1,127,464,883.80

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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.