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Finding the Fourth Proportional to 274,688,137.80, 412,032,206.70 and 201,508,712.10

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Solution

The fourth proportional to 274,688,137.80, 412,032,206.70 and 201,508,712.10 is: 302,263,068.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,688,137.80 : 412,032,206.70 = 201,508,712.10 : x
  2. Step 2: Convert to fraction form
    274,688,137.80/412,032,206.70 = 201,508,712.10/x
  3. Step 3: Cross multiply
    274,688,137.80x = 412,032,206.70 × 201,508,712.10
  4. Step 4: Simplify right side
    274,688,137.80x = 83,028,079,315,837,984
  5. Step 5: Solve for x
    x = 83,028,079,315,837,984/274,688,137.80
  6. Step 6: Final answer
    x = 302,263,068.15

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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.