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Finding the Fourth Proportional to 139,671,025,228.80, 209,506,537,843.20 and 139,671,025,228.80

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Solution

The fourth proportional to 139,671,025,228.80, 209,506,537,843.20 and 139,671,025,228.80 is: 209,506,537,843.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,671,025,228.80 : 209,506,537,843.20 = 139,671,025,228.80 : x
  2. Step 2: Convert to fraction form
    139,671,025,228.80/209,506,537,843.20 = 139,671,025,228.80/x
  3. Step 3: Cross multiply
    139,671,025,228.80x = 209,506,537,843.20 × 139,671,025,228.80
  4. Step 4: Simplify right side
    139,671,025,228.80x = 29,261,992,932,696,129,536,000
  5. Step 5: Solve for x
    x = 29,261,992,932,696,129,536,000/139,671,025,228.80
  6. Step 6: Final answer
    x = 209,506,537,843.20

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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.