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Finding the Fourth Proportional to 109,559,916,689.20, 164,339,875,033.80 and 109,559,916,689.20

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Solution

The fourth proportional to 109,559,916,689.20, 164,339,875,033.80 and 109,559,916,689.20 is: 164,339,875,033.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,559,916,689.20 : 164,339,875,033.80 = 109,559,916,689.20 : x
  2. Step 2: Convert to fraction form
    109,559,916,689.20/164,339,875,033.80 = 109,559,916,689.20/x
  3. Step 3: Cross multiply
    109,559,916,689.20x = 164,339,875,033.80 × 109,559,916,689.20
  4. Step 4: Simplify right side
    109,559,916,689.20x = 18,005,063,017,416,666,120,192
  5. Step 5: Solve for x
    x = 18,005,063,017,416,666,120,192/109,559,916,689.20
  6. Step 6: Final answer
    x = 164,339,875,033.80

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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.