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Finding the Fourth Proportional to 230,688,002.40, 322,358,541.60 and 230,688,002.40

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Solution

The fourth proportional to 230,688,002.40, 322,358,541.60 and 230,688,002.40 is: 322,358,541.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,688,002.40 : 322,358,541.60 = 230,688,002.40 : x
  2. Step 2: Convert to fraction form
    230,688,002.40/322,358,541.60 = 230,688,002.40/x
  3. Step 3: Cross multiply
    230,688,002.40x = 322,358,541.60 × 230,688,002.40
  4. Step 4: Simplify right side
    230,688,002.40x = 74,364,248,018,281,312
  5. Step 5: Solve for x
    x = 74,364,248,018,281,312/230,688,002.40
  6. Step 6: Final answer
    x = 322,358,541.60

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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.