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Finding the Fourth Proportional to 230,688,009.40, 322,358,551.40 and 230,688,009.40

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Solution

The fourth proportional to 230,688,009.40, 322,358,551.40 and 230,688,009.40 is: 322,358,551.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,688,009.40 : 322,358,551.40 = 230,688,009.40 : x
  2. Step 2: Convert to fraction form
    230,688,009.40/322,358,551.40 = 230,688,009.40/x
  3. Step 3: Cross multiply
    230,688,009.40x = 322,358,551.40 × 230,688,009.40
  4. Step 4: Simplify right side
    230,688,009.40x = 74,364,252,535,533,584
  5. Step 5: Solve for x
    x = 74,364,252,535,533,584/230,688,009.40
  6. Step 6: Final answer
    x = 322,358,551.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.