Finding the Fourth Proportional to 697,923,625,145.34, 1,047,203,528,628.70 and 358,201,370,636.31
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Solution
The fourth proportional to 697,923,625,145.34, 1,047,203,528,628.70 and 358,201,370,636.31 is: 537,465,312,500.15
Step by Step Solution
- Step 1: Write the proportion equation
697,923,625,145.34 : 1,047,203,528,628.70 = 358,201,370,636.31 : x - Step 2: Convert to fraction form
697,923,625,145.34/1,047,203,528,628.70 = 358,201,370,636.31/x - Step 3: Cross multiply
697,923,625,145.34x = 1,047,203,528,628.70 × 358,201,370,636.31 - Step 4: Simplify right side
697,923,625,145.34x = 375,109,739,289,980,639,903,744 - Step 5: Solve for x
x = 375,109,739,289,980,639,903,744/697,923,625,145.34 - Step 6: Final answer
x = 537,465,312,500.15
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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.