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Finding the Fourth Proportional to 213,894,803.60, 320,842,205.40 and 99,103,547.60

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Solution

The fourth proportional to 213,894,803.60, 320,842,205.40 and 99,103,547.60 is: 148,655,321.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,894,803.60 : 320,842,205.40 = 99,103,547.60 : x
  2. Step 2: Convert to fraction form
    213,894,803.60/320,842,205.40 = 99,103,547.60/x
  3. Step 3: Cross multiply
    213,894,803.60x = 320,842,205.40 × 99,103,547.60
  4. Step 4: Simplify right side
    213,894,803.60x = 31,796,600,774,947,872
  5. Step 5: Solve for x
    x = 31,796,600,774,947,872/213,894,803.60
  6. Step 6: Final answer
    x = 148,655,321.40

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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.