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Finding the Fourth Proportional to 356,030,209,630.40, 499,176,128,910.40 and 356,030,209,630.40

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Solution

The fourth proportional to 356,030,209,630.40, 499,176,128,910.40 and 356,030,209,630.40 is: 499,176,128,910.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,030,209,630.40 : 499,176,128,910.40 = 356,030,209,630.40 : x
  2. Step 2: Convert to fraction form
    356,030,209,630.40/499,176,128,910.40 = 356,030,209,630.40/x
  3. Step 3: Cross multiply
    356,030,209,630.40x = 499,176,128,910.40 × 356,030,209,630.40
  4. Step 4: Simplify right side
    356,030,209,630.40x = 177,721,781,818,461,301,768,192
  5. Step 5: Solve for x
    x = 177,721,781,818,461,301,768,192/356,030,209,630.40
  6. Step 6: Final answer
    x = 499,176,128,910.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.