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Finding the Fourth Proportional to 264,502,992, 365,018,492.16 and 145,430,624.64

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Solution

The fourth proportional to 264,502,992, 365,018,492.16 and 145,430,624.64 is: 200,696,661.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,502,992 : 365,018,492.16 = 145,430,624.64 : x
  2. Step 2: Convert to fraction form
    264,502,992/365,018,492.16 = 145,430,624.64/x
  3. Step 3: Cross multiply
    264,502,992x = 365,018,492.16 × 145,430,624.64
  4. Step 4: Simplify right side
    264,502,992x = 53,084,867,319,979,744
  5. Step 5: Solve for x
    x = 53,084,867,319,979,744/264,502,992
  6. Step 6: Final answer
    x = 200,696,661.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.