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Finding the Fourth Proportional to 163,315,024,809.67, 244,972,537,214.51 and 163,315,024,809.67

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Solution

The fourth proportional to 163,315,024,809.67, 244,972,537,214.51 and 163,315,024,809.67 is: 244,972,537,214.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,315,024,809.67 : 244,972,537,214.51 = 163,315,024,809.67 : x
  2. Step 2: Convert to fraction form
    163,315,024,809.67/244,972,537,214.51 = 163,315,024,809.67/x
  3. Step 3: Cross multiply
    163,315,024,809.67x = 244,972,537,214.51 × 163,315,024,809.67
  4. Step 4: Simplify right side
    163,315,024,809.67x = 40,007,695,992,875,514,855,424
  5. Step 5: Solve for x
    x = 40,007,695,992,875,514,855,424/163,315,024,809.67
  6. Step 6: Final answer
    x = 244,972,537,214.51

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1.5x scale

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.