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Finding the Fourth Proportional to 586,712,711,025.60, 880,069,066,538.40 and 586,712,711,025.60

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Solution

The fourth proportional to 586,712,711,025.60, 880,069,066,538.40 and 586,712,711,025.60 is: 880,069,066,538.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,712,711,025.60 : 880,069,066,538.40 = 586,712,711,025.60 : x
  2. Step 2: Convert to fraction form
    586,712,711,025.60/880,069,066,538.40 = 586,712,711,025.60/x
  3. Step 3: Cross multiply
    586,712,711,025.60x = 880,069,066,538.40 × 586,712,711,025.60
  4. Step 4: Simplify right side
    586,712,711,025.60x = 516,347,707,918,513,799,692,288
  5. Step 5: Solve for x
    x = 516,347,707,918,513,799,692,288/586,712,711,025.60
  6. Step 6: Final answer
    x = 880,069,066,538.40

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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.