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Finding the Fourth Proportional to 945,133,069.10, 1,417,699,603.65 and 817,731,085.10

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Solution

The fourth proportional to 945,133,069.10, 1,417,699,603.65 and 817,731,085.10 is: 1,226,596,627.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,133,069.10 : 1,417,699,603.65 = 817,731,085.10 : x
  2. Step 2: Convert to fraction form
    945,133,069.10/1,417,699,603.65 = 817,731,085.10/x
  3. Step 3: Cross multiply
    945,133,069.10x = 1,417,699,603.65 × 817,731,085.10
  4. Step 4: Simplify right side
    945,133,069.10x = 1,159,297,035,238,554,624
  5. Step 5: Solve for x
    x = 1,159,297,035,238,554,624/945,133,069.10
  6. Step 6: Final answer
    x = 1,226,596,627.65

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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.