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Finding the Fourth Proportional to 857,389,968,308.70, 1,286,084,952,463 and 857,389,968,308.70

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Solution

The fourth proportional to 857,389,968,308.70, 1,286,084,952,463 and 857,389,968,308.70 is: 1,286,084,952,463

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,389,968,308.70 : 1,286,084,952,463 = 857,389,968,308.70 : x
  2. Step 2: Convert to fraction form
    857,389,968,308.70/1,286,084,952,463 = 857,389,968,308.70/x
  3. Step 3: Cross multiply
    857,389,968,308.70x = 1,286,084,952,463 × 857,389,968,308.70
  4. Step 4: Simplify right side
    857,389,968,308.70x = 1,102,676,336,634,547,505,463,296
  5. Step 5: Solve for x
    x = 1,102,676,336,634,547,505,463,296/857,389,968,308.70
  6. Step 6: Final answer
    x = 1,286,084,952,463

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.