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Finding the Fourth Proportional to 223,978,176,095.70, 335,967,264,143.55 and 223,978,176,095.70

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Solution

The fourth proportional to 223,978,176,095.70, 335,967,264,143.55 and 223,978,176,095.70 is: 335,967,264,143.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,978,176,095.70 : 335,967,264,143.55 = 223,978,176,095.70 : x
  2. Step 2: Convert to fraction form
    223,978,176,095.70/335,967,264,143.55 = 223,978,176,095.70/x
  3. Step 3: Cross multiply
    223,978,176,095.70x = 335,967,264,143.55 × 223,978,176,095.70
  4. Step 4: Simplify right side
    223,978,176,095.70x = 75,249,335,050,734,596,521,984
  5. Step 5: Solve for x
    x = 75,249,335,050,734,596,521,984/223,978,176,095.70
  6. Step 6: Final answer
    x = 335,967,264,143.55

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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.