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Finding the Fourth Proportional to 78,473,554,689.60, 117,710,332,034.40 and 78,473,554,689.60

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Solution

The fourth proportional to 78,473,554,689.60, 117,710,332,034.40 and 78,473,554,689.60 is: 117,710,332,034.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,473,554,689.60 : 117,710,332,034.40 = 78,473,554,689.60 : x
  2. Step 2: Convert to fraction form
    78,473,554,689.60/117,710,332,034.40 = 78,473,554,689.60/x
  3. Step 3: Cross multiply
    78,473,554,689.60x = 117,710,332,034.40 × 78,473,554,689.60
  4. Step 4: Simplify right side
    78,473,554,689.60x = 9,237,148,178,432,463,470,592
  5. Step 5: Solve for x
    x = 9,237,148,178,432,463,470,592/78,473,554,689.60
  6. Step 6: Final answer
    x = 117,710,332,034.40

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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.