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Finding the Fourth Proportional to 586,719,036,019.40, 880,078,554,029.10 and 586,719,036,019.40

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Solution

The fourth proportional to 586,719,036,019.40, 880,078,554,029.10 and 586,719,036,019.40 is: 880,078,554,029.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,719,036,019.40 : 880,078,554,029.10 = 586,719,036,019.40 : x
  2. Step 2: Convert to fraction form
    586,719,036,019.40/880,078,554,029.10 = 586,719,036,019.40/x
  3. Step 3: Cross multiply
    586,719,036,019.40x = 880,078,554,029.10 × 586,719,036,019.40
  4. Step 4: Simplify right side
    586,719,036,019.40x = 516,358,840,841,301,018,017,792
  5. Step 5: Solve for x
    x = 516,358,840,841,301,018,017,792/586,719,036,019.40
  6. Step 6: Final answer
    x = 880,078,554,029.10

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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.