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Finding the Fourth Proportional to 710,270,896,551.60, 1,065,406,344,827.40 and 710,270,896,551.60

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Solution

The fourth proportional to 710,270,896,551.60, 1,065,406,344,827.40 and 710,270,896,551.60 is: 1,065,406,344,827.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,270,896,551.60 : 1,065,406,344,827.40 = 710,270,896,551.60 : x
  2. Step 2: Convert to fraction form
    710,270,896,551.60/1,065,406,344,827.40 = 710,270,896,551.60/x
  3. Step 3: Cross multiply
    710,270,896,551.60x = 1,065,406,344,827.40 × 710,270,896,551.60
  4. Step 4: Simplify right side
    710,270,896,551.60x = 756,727,119,732,320,549,994,496
  5. Step 5: Solve for x
    x = 756,727,119,732,320,549,994,496/710,270,896,551.60
  6. Step 6: Final answer
    x = 1,065,406,344,827.40

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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.