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Finding the Fourth Proportional to 473,364,005.70, 710,046,008.56 and 473,364,005.70

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Solution

The fourth proportional to 473,364,005.70, 710,046,008.56 and 473,364,005.70 is: 710,046,008.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,364,005.70 : 710,046,008.56 = 473,364,005.70 : x
  2. Step 2: Convert to fraction form
    473,364,005.70/710,046,008.56 = 473,364,005.70/x
  3. Step 3: Cross multiply
    473,364,005.70x = 710,046,008.56 × 473,364,005.70
  4. Step 4: Simplify right side
    473,364,005.70x = 336,110,222,843,258,048
  5. Step 5: Solve for x
    x = 336,110,222,843,258,048/473,364,005.70
  6. Step 6: Final answer
    x = 710,046,008.56

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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.