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Finding the Fourth Proportional to 30,654,806,961.60, 45,982,210,442.40 and 30,654,806,961.60

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Solution

The fourth proportional to 30,654,806,961.60, 45,982,210,442.40 and 30,654,806,961.60 is: 45,982,210,442.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,654,806,961.60 : 45,982,210,442.40 = 30,654,806,961.60 : x
  2. Step 2: Convert to fraction form
    30,654,806,961.60/45,982,210,442.40 = 30,654,806,961.60/x
  3. Step 3: Cross multiply
    30,654,806,961.60x = 45,982,210,442.40 × 30,654,806,961.60
  4. Step 4: Simplify right side
    30,654,806,961.60x = 1,409,575,784,779,439,669,248
  5. Step 5: Solve for x
    x = 1,409,575,784,779,439,669,248/30,654,806,961.60
  6. Step 6: Final answer
    x = 45,982,210,442.40

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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.