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Finding the Fourth Proportional to 593,584,416,000.10, 890,376,624,000.15 and 593,584,416,000.10

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Solution

The fourth proportional to 593,584,416,000.10, 890,376,624,000.15 and 593,584,416,000.10 is: 890,376,624,000.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,584,416,000.10 : 890,376,624,000.15 = 593,584,416,000.10 : x
  2. Step 2: Convert to fraction form
    593,584,416,000.10/890,376,624,000.15 = 593,584,416,000.10/x
  3. Step 3: Cross multiply
    593,584,416,000.10x = 890,376,624,000.15 × 593,584,416,000.10
  4. Step 4: Simplify right side
    593,584,416,000.10x = 528,513,688,377,269,677,981,696
  5. Step 5: Solve for x
    x = 528,513,688,377,269,677,981,696/593,584,416,000.10
  6. Step 6: Final answer
    x = 890,376,624,000.15

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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.