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Finding the Fourth Proportional to 618,098,688,032.48, 927,148,032,048.67 and 618,098,688,032.48

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Solution

The fourth proportional to 618,098,688,032.48, 927,148,032,048.67 and 618,098,688,032.48 is: 927,148,032,048.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,098,688,032.48 : 927,148,032,048.67 = 618,098,688,032.48 : x
  2. Step 2: Convert to fraction form
    618,098,688,032.48/927,148,032,048.67 = 618,098,688,032.48/x
  3. Step 3: Cross multiply
    618,098,688,032.48x = 927,148,032,048.67 × 618,098,688,032.48
  4. Step 4: Simplify right side
    618,098,688,032.48x = 573,068,982,221,178,667,008,000
  5. Step 5: Solve for x
    x = 573,068,982,221,178,667,008,000/618,098,688,032.48
  6. Step 6: Final answer
    x = 927,148,032,048.67

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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.