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Finding the Fourth Proportional to 445,931,999.95, 668,897,999.93 and 445,931,999.95

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Solution

The fourth proportional to 445,931,999.95, 668,897,999.93 and 445,931,999.95 is: 668,897,999.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,931,999.95 : 668,897,999.93 = 445,931,999.95 : x
  2. Step 2: Convert to fraction form
    445,931,999.95/668,897,999.93 = 445,931,999.95/x
  3. Step 3: Cross multiply
    445,931,999.95x = 668,897,999.93 × 445,931,999.95
  4. Step 4: Simplify right side
    445,931,999.95x = 298,283,022,869,110,144
  5. Step 5: Solve for x
    x = 298,283,022,869,110,144/445,931,999.95
  6. Step 6: Final answer
    x = 668,897,999.93

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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.