Finding the Fourth Proportional to 2,155,106,281,853.60, 2,974,065,215,487.50 and 1,229,207,258,263
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Solution
The fourth proportional to 2,155,106,281,853.60, 2,974,065,215,487.50 and 1,229,207,258,263 is: 1,696,316,594,780.86
Step by Step Solution
- Step 1: Write the proportion equation
2,155,106,281,853.60 : 2,974,065,215,487.50 = 1,229,207,258,263 : x - Step 2: Convert to fraction form
2,155,106,281,853.60/2,974,065,215,487.50 = 1,229,207,258,263/x - Step 3: Cross multiply
2,155,106,281,853.60x = 2,974,065,215,487.50 × 1,229,207,258,263 - Step 4: Simplify right side
2,155,106,281,853.60x = 3,655,742,549,424,747,973,705,728 - Step 5: Solve for x
x = 3,655,742,549,424,747,973,705,728/2,155,106,281,853.60 - Step 6: Final answer
x = 1,696,316,594,780.86
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.