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Finding the Fourth Proportional to 1,000,289,430.64, 1,380,401,036.66 and 548,095,541.43

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Solution

The fourth proportional to 1,000,289,430.64, 1,380,401,036.66 and 548,095,541.43 is: 756,372,736.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000,289,430.64 : 1,380,401,036.66 = 548,095,541.43 : x
  2. Step 2: Convert to fraction form
    1,000,289,430.64/1,380,401,036.66 = 548,095,541.43/x
  3. Step 3: Cross multiply
    1,000,289,430.64x = 1,380,401,036.66 × 548,095,541.43
  4. Step 4: Simplify right side
    1,000,289,430.64x = 756,591,653,580,066,048
  5. Step 5: Solve for x
    x = 756,591,653,580,066,048/1,000,289,430.64
  6. Step 6: Final answer
    x = 756,372,736.14

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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.