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Finding the Fourth Proportional to 185,573,507,689.60, 278,360,261,534.40 and 185,573,507,689.60

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Solution

The fourth proportional to 185,573,507,689.60, 278,360,261,534.40 and 185,573,507,689.60 is: 278,360,261,534.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,573,507,689.60 : 278,360,261,534.40 = 185,573,507,689.60 : x
  2. Step 2: Convert to fraction form
    185,573,507,689.60/278,360,261,534.40 = 185,573,507,689.60/x
  3. Step 3: Cross multiply
    185,573,507,689.60x = 278,360,261,534.40 × 185,573,507,689.60
  4. Step 4: Simplify right side
    185,573,507,689.60x = 51,656,290,134,333,054,779,392
  5. Step 5: Solve for x
    x = 51,656,290,134,333,054,779,392/185,573,507,689.60
  6. Step 6: Final answer
    x = 278,360,261,534.40

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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.