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Finding the Fourth Proportional to 706,316,748.48, 974,709,377.88 and 388,770,205.20

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Solution

The fourth proportional to 706,316,748.48, 974,709,377.88 and 388,770,205.20 is: 536,498,625.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,316,748.48 : 974,709,377.88 = 388,770,205.20 : x
  2. Step 2: Convert to fraction form
    706,316,748.48/974,709,377.88 = 388,770,205.20/x
  3. Step 3: Cross multiply
    706,316,748.48x = 974,709,377.88 × 388,770,205.20
  4. Step 4: Simplify right side
    706,316,748.48x = 378,937,964,848,771,904
  5. Step 5: Solve for x
    x = 378,937,964,848,771,904/706,316,748.48
  6. Step 6: Final answer
    x = 536,498,625.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.