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Finding the Fourth Proportional to 20,112,144,598.65, 30,168,216,897.98 and 20,112,144,598.65

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Solution

The fourth proportional to 20,112,144,598.65, 30,168,216,897.98 and 20,112,144,598.65 is: 30,168,216,897.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,112,144,598.65 : 30,168,216,897.98 = 20,112,144,598.65 : x
  2. Step 2: Convert to fraction form
    20,112,144,598.65/30,168,216,897.98 = 20,112,144,598.65/x
  3. Step 3: Cross multiply
    20,112,144,598.65x = 30,168,216,897.98 × 20,112,144,598.65
  4. Step 4: Simplify right side
    20,112,144,598.65x = 606,747,540,535,509,516,288
  5. Step 5: Solve for x
    x = 606,747,540,535,509,516,288/20,112,144,598.65
  6. Step 6: Final answer
    x = 30,168,216,897.98

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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.