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Finding the Fourth Proportional to 1,710,810,742.86, 2,567,295,603.81 and 728,235,678.10

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Solution

The fourth proportional to 1,710,810,742.86, 2,567,295,603.81 and 728,235,678.10 is: 1,092,813,020.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710,810,742.86 : 2,567,295,603.81 = 728,235,678.10 : x
  2. Step 2: Convert to fraction form
    1,710,810,742.86/2,567,295,603.81 = 728,235,678.10/x
  3. Step 3: Cross multiply
    1,710,810,742.86x = 2,567,295,603.81 × 728,235,678.10
  4. Step 4: Simplify right side
    1,710,810,742.86x = 1,869,596,254,923,724,288
  5. Step 5: Solve for x
    x = 1,869,596,254,923,724,288/1,710,810,742.86
  6. Step 6: Final answer
    x = 1,092,813,020.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.