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Finding the Fourth Proportional to 46,784,595,931.80, 70,176,893,897.70 and 46,784,595,931.80

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Solution

The fourth proportional to 46,784,595,931.80, 70,176,893,897.70 and 46,784,595,931.80 is: 70,176,893,897.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,784,595,931.80 : 70,176,893,897.70 = 46,784,595,931.80 : x
  2. Step 2: Convert to fraction form
    46,784,595,931.80/70,176,893,897.70 = 46,784,595,931.80/x
  3. Step 3: Cross multiply
    46,784,595,931.80x = 70,176,893,897.70 × 46,784,595,931.80
  4. Step 4: Simplify right side
    46,784,595,931.80x = 3,283,197,624,752,695,934,976
  5. Step 5: Solve for x
    x = 3,283,197,624,752,695,934,976/46,784,595,931.80
  6. Step 6: Final answer
    x = 70,176,893,897.70

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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.