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Finding the Fourth Proportional to 290,248,230.10, 407,495,434.70 and 290,248,230.10

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Solution

The fourth proportional to 290,248,230.10, 407,495,434.70 and 290,248,230.10 is: 407,495,434.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,248,230.10 : 407,495,434.70 = 290,248,230.10 : x
  2. Step 2: Convert to fraction form
    290,248,230.10/407,495,434.70 = 290,248,230.10/x
  3. Step 3: Cross multiply
    290,248,230.10x = 407,495,434.70 × 290,248,230.10
  4. Step 4: Simplify right side
    290,248,230.10x = 118,274,828,695,505,136
  5. Step 5: Solve for x
    x = 118,274,828,695,505,136/290,248,230.10
  6. Step 6: Final answer
    x = 407,495,434.70

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.