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Finding the Fourth Proportional to 586,713,249,618.73, 880,069,874,428.09 and 586,713,249,618.73

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Solution

The fourth proportional to 586,713,249,618.73, 880,069,874,428.09 and 586,713,249,618.73 is: 880,069,874,428.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,713,249,618.73 : 880,069,874,428.09 = 586,713,249,618.73 : x
  2. Step 2: Convert to fraction form
    586,713,249,618.73/880,069,874,428.09 = 586,713,249,618.73/x
  3. Step 3: Cross multiply
    586,713,249,618.73x = 880,069,874,428.09 × 586,713,249,618.73
  4. Step 4: Simplify right side
    586,713,249,618.73x = 516,348,655,917,252,302,864,384
  5. Step 5: Solve for x
    x = 516,348,655,917,252,302,864,384/586,713,249,618.73
  6. Step 6: Final answer
    x = 880,069,874,428.09

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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.