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Finding the Fourth Proportional to 574,697,376,004.70, 862,046,064,007.05 and 574,697,376,004.70

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Solution

The fourth proportional to 574,697,376,004.70, 862,046,064,007.05 and 574,697,376,004.70 is: 862,046,064,007.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,697,376,004.70 : 862,046,064,007.05 = 574,697,376,004.70 : x
  2. Step 2: Convert to fraction form
    574,697,376,004.70/862,046,064,007.05 = 574,697,376,004.70/x
  3. Step 3: Cross multiply
    574,697,376,004.70x = 862,046,064,007.05 × 574,697,376,004.70
  4. Step 4: Simplify right side
    574,697,376,004.70x = 495,415,610,980,031,283,593,216
  5. Step 5: Solve for x
    x = 495,415,610,980,031,283,593,216/574,697,376,004.70
  6. Step 6: Final answer
    x = 862,046,064,007.05

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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.