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Finding the Fourth Proportional to 374,134,464,000.46, 561,201,696,000.70 and 374,134,464,000.46

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Solution

The fourth proportional to 374,134,464,000.46, 561,201,696,000.70 and 374,134,464,000.46 is: 561,201,696,000.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,134,464,000.46 : 561,201,696,000.70 = 374,134,464,000.46 : x
  2. Step 2: Convert to fraction form
    374,134,464,000.46/561,201,696,000.70 = 374,134,464,000.46/x
  3. Step 3: Cross multiply
    374,134,464,000.46x = 561,201,696,000.70 × 374,134,464,000.46
  4. Step 4: Simplify right side
    374,134,464,000.46x = 209,964,895,729,370,991,165,440
  5. Step 5: Solve for x
    x = 209,964,895,729,370,991,165,440/374,134,464,000.46
  6. Step 6: Final answer
    x = 561,201,696,000.70

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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.