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Finding the Fourth Proportional to 459,166,482,000.10, 688,749,723,000.20 and 459,166,482,000.10

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Solution

The fourth proportional to 459,166,482,000.10, 688,749,723,000.20 and 459,166,482,000.10 is: 688,749,723,000.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,166,482,000.10 : 688,749,723,000.20 = 459,166,482,000.10 : x
  2. Step 2: Convert to fraction form
    459,166,482,000.10/688,749,723,000.20 = 459,166,482,000.10/x
  3. Step 3: Cross multiply
    459,166,482,000.10x = 688,749,723,000.20 × 459,166,482,000.10
  4. Step 4: Simplify right side
    459,166,482,000.10x = 316,250,787,288,545,174,224,896
  5. Step 5: Solve for x
    x = 316,250,787,288,545,174,224,896/459,166,482,000.10
  6. Step 6: Final answer
    x = 688,749,723,000.20

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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.