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Finding the Fourth Proportional to 31,196,830.20, 46,688,957.10 and 31,196,830.20

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Solution

The fourth proportional to 31,196,830.20, 46,688,957.10 and 31,196,830.20 is: 46,688,957.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,196,830.20 : 46,688,957.10 = 31,196,830.20 : x
  2. Step 2: Convert to fraction form
    31,196,830.20/46,688,957.10 = 31,196,830.20/x
  3. Step 3: Cross multiply
    31,196,830.20x = 46,688,957.10 × 31,196,830.20
  4. Step 4: Simplify right side
    31,196,830.20x = 1,456,547,466,863,784.50
  5. Step 5: Solve for x
    x = 1,456,547,466,863,784.50/31,196,830.20
  6. Step 6: Final answer
    x = 46,688,957.10

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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.