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Finding the Fourth Proportional to 57,223,875,779.80, 85,835,813,669.70 and 57,223,875,779.80

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Solution

The fourth proportional to 57,223,875,779.80, 85,835,813,669.70 and 57,223,875,779.80 is: 85,835,813,669.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,223,875,779.80 : 85,835,813,669.70 = 57,223,875,779.80 : x
  2. Step 2: Convert to fraction form
    57,223,875,779.80/85,835,813,669.70 = 57,223,875,779.80/x
  3. Step 3: Cross multiply
    57,223,875,779.80x = 85,835,813,669.70 × 57,223,875,779.80
  4. Step 4: Simplify right side
    57,223,875,779.80x = 4,911,857,938,892,971,835,392
  5. Step 5: Solve for x
    x = 4,911,857,938,892,971,835,392/57,223,875,779.80
  6. Step 6: Final answer
    x = 85,835,813,669.70

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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.