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Finding the Fourth Proportional to 346,374,177,225.60, 519,561,265,838.40 and 346,374,177,225.60

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Solution

The fourth proportional to 346,374,177,225.60, 519,561,265,838.40 and 346,374,177,225.60 is: 519,561,265,838.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,374,177,225.60 : 519,561,265,838.40 = 346,374,177,225.60 : x
  2. Step 2: Convert to fraction form
    346,374,177,225.60/519,561,265,838.40 = 346,374,177,225.60/x
  3. Step 3: Cross multiply
    346,374,177,225.60x = 519,561,265,838.40 × 346,374,177,225.60
  4. Step 4: Simplify right side
    346,374,177,225.60x = 179,962,605,973,067,039,506,432
  5. Step 5: Solve for x
    x = 179,962,605,973,067,039,506,432/346,374,177,225.60
  6. Step 6: Final answer
    x = 519,561,265,838.40

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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.