Finding the Fourth Proportional to 812,156,267,686.94, 1,120,802,527,952.90 and 446,363,436,683.68
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Solution
The fourth proportional to 812,156,267,686.94, 1,120,802,527,952.90 and 446,363,436,683.68 is: 615,996,315,149.61
Step by Step Solution
- Step 1: Write the proportion equation
812,156,267,686.94 : 1,120,802,527,952.90 = 446,363,436,683.68 : x - Step 2: Convert to fraction form
812,156,267,686.94/1,120,802,527,952.90 = 446,363,436,683.68/x - Step 3: Cross multiply
812,156,267,686.94x = 1,120,802,527,952.90 × 446,363,436,683.68 - Step 4: Simplify right side
812,156,267,686.94x = 500,285,268,220,812,680,232,960 - Step 5: Solve for x
x = 500,285,268,220,812,680,232,960/812,156,267,686.94 - Step 6: Final answer
x = 615,996,315,149.61
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.