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Finding the Fourth Proportional to 16,946,828,714.80, 25,371,870,131.40 and 16,946,828,714.80

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Solution

The fourth proportional to 16,946,828,714.80, 25,371,870,131.40 and 16,946,828,714.80 is: 25,371,870,131.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,946,828,714.80 : 25,371,870,131.40 = 16,946,828,714.80 : x
  2. Step 2: Convert to fraction form
    16,946,828,714.80/25,371,870,131.40 = 16,946,828,714.80/x
  3. Step 3: Cross multiply
    16,946,828,714.80x = 25,371,870,131.40 × 16,946,828,714.80
  4. Step 4: Simplify right side
    16,946,828,714.80x = 429,972,737,290,985,996,288
  5. Step 5: Solve for x
    x = 429,972,737,290,985,996,288/16,946,828,714.80
  6. Step 6: Final answer
    x = 25,371,870,131.40

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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.