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Finding the Fourth Proportional to 586,713,242,281.80, 880,069,863,422.70 and 586,713,242,281.80

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Solution

The fourth proportional to 586,713,242,281.80, 880,069,863,422.70 and 586,713,242,281.80 is: 880,069,863,422.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,713,242,281.80 : 880,069,863,422.70 = 586,713,242,281.80 : x
  2. Step 2: Convert to fraction form
    586,713,242,281.80/880,069,863,422.70 = 586,713,242,281.80/x
  3. Step 3: Cross multiply
    586,713,242,281.80x = 880,069,863,422.70 × 586,713,242,281.80
  4. Step 4: Simplify right side
    586,713,242,281.80x = 516,348,643,003,233,220,952,064
  5. Step 5: Solve for x
    x = 516,348,643,003,233,220,952,064/586,713,242,281.80
  6. Step 6: Final answer
    x = 880,069,863,422.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.