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Finding the Fourth Proportional to 429,381,036.10, 644,071,554.15 and 429,381,036.10

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Solution

The fourth proportional to 429,381,036.10, 644,071,554.15 and 429,381,036.10 is: 644,071,554.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,381,036.10 : 644,071,554.15 = 429,381,036.10 : x
  2. Step 2: Convert to fraction form
    429,381,036.10/644,071,554.15 = 429,381,036.10/x
  3. Step 3: Cross multiply
    429,381,036.10x = 644,071,554.15 × 429,381,036.10
  4. Step 4: Simplify right side
    429,381,036.10x = 276,552,111,243,464,256
  5. Step 5: Solve for x
    x = 276,552,111,243,464,256/429,381,036.10
  6. Step 6: Final answer
    x = 644,071,554.15

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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.