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Finding the Fourth Proportional to 527,638,008,007.70, 791,457,012,011.55 and 527,638,008,007.70

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Solution

The fourth proportional to 527,638,008,007.70, 791,457,012,011.55 and 527,638,008,007.70 is: 791,457,012,011.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,638,008,007.70 : 791,457,012,011.55 = 527,638,008,007.70 : x
  2. Step 2: Convert to fraction form
    527,638,008,007.70/791,457,012,011.55 = 527,638,008,007.70/x
  3. Step 3: Cross multiply
    527,638,008,007.70x = 791,457,012,011.55 × 527,638,008,007.70
  4. Step 4: Simplify right side
    527,638,008,007.70x = 417,602,801,241,500,560,654,336
  5. Step 5: Solve for x
    x = 417,602,801,241,500,560,654,336/527,638,008,007.70
  6. Step 6: Final answer
    x = 791,457,012,011.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.