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Finding the Fourth Proportional to 288,287,425,513.35, 432,431,138,270.02 and 288,287,425,513.35

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Solution

The fourth proportional to 288,287,425,513.35, 432,431,138,270.02 and 288,287,425,513.35 is: 432,431,138,270.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,287,425,513.35 : 432,431,138,270.02 = 288,287,425,513.35 : x
  2. Step 2: Convert to fraction form
    288,287,425,513.35/432,431,138,270.02 = 288,287,425,513.35/x
  3. Step 3: Cross multiply
    288,287,425,513.35x = 432,431,138,270.02 × 288,287,425,513.35
  4. Step 4: Simplify right side
    288,287,425,513.35x = 124,664,459,563,671,545,184,256
  5. Step 5: Solve for x
    x = 124,664,459,563,671,545,184,256/288,287,425,513.35
  6. Step 6: Final answer
    x = 432,431,138,270.02

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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.