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Finding the Fourth Proportional to 473,365,666.20, 710,048,499.30 and 473,365,666.20

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Solution

The fourth proportional to 473,365,666.20, 710,048,499.30 and 473,365,666.20 is: 710,048,499.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,365,666.20 : 710,048,499.30 = 473,365,666.20 : x
  2. Step 2: Convert to fraction form
    473,365,666.20/710,048,499.30 = 473,365,666.20/x
  3. Step 3: Cross multiply
    473,365,666.20x = 710,048,499.30 × 473,365,666.20
  4. Step 4: Simplify right side
    473,365,666.20x = 336,112,580,905,454,720
  5. Step 5: Solve for x
    x = 336,112,580,905,454,720/473,365,666.20
  6. Step 6: Final answer
    x = 710,048,499.30

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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.