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Finding the Fourth Proportional to 400,713,711,508.58, 601,070,567,262.90 and 400,713,711,508.58

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Solution

The fourth proportional to 400,713,711,508.58, 601,070,567,262.90 and 400,713,711,508.58 is: 601,070,567,262.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,713,711,508.58 : 601,070,567,262.90 = 400,713,711,508.58 : x
  2. Step 2: Convert to fraction form
    400,713,711,508.58/601,070,567,262.90 = 400,713,711,508.58/x
  3. Step 3: Cross multiply
    400,713,711,508.58x = 601,070,567,262.90 × 400,713,711,508.58
  4. Step 4: Simplify right side
    400,713,711,508.58x = 240,857,217,886,484,269,367,296
  5. Step 5: Solve for x
    x = 240,857,217,886,484,269,367,296/400,713,711,508.58
  6. Step 6: Final answer
    x = 601,070,567,262.90

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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.